1164523530240 has 768 divisors, whose sum is σ = 4820563238400. Its totient is φ = 261131599872.

The previous prime is 1164523530221. The next prime is 1164523530259. The reversal of 1164523530240 is 420353254611.

1164523530240 is a `hidden beast` number, since 1 + 1 + 64 + 5 + 2 + 353 + 0 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (1164523530221) and next prime (1164523530259).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×1164523530240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1164523530195 and 1164523530204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102568404 + ... + 102579756.

It is an arithmetic number, because the mean of its divisors is an integer number (6276775050).

Almost surely, 2^{1164523530240} is an apocalyptic number.

1164523530240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1164523530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410281619200).

1164523530240 is an abundant number, since it is smaller than the sum of its proper divisors (3656039708160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1164523530240 is a wasteful number, since it uses less digits than its factorization.

1164523530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11449 (or 11423 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 1164523530240 its reverse (420353254611), we get a palindrome (1584876784851).

The spelling of 1164523530240 in words is "one trillion, one hundred sixty-four billion, five hundred twenty-three million, five hundred thirty thousand, two hundred forty".