1164256657920 has 1280 divisors, whose sum is σ = 4581285350400. Its totient is φ = 279010344960.

The previous prime is 1164256657919. The next prime is 1164256657931. The reversal of 1164256657920 is 297566524611.

1164256657920 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 2 + 5 + 66 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×1164256657920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2652065061 + ... + 2652065499.

It is an arithmetic number, because the mean of its divisors is an integer number (3579129180).

Almost surely, 2^{1164256657920} is an apocalyptic number.

1164256657920 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 1164256657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290642675200).

1164256657920 is an abundant number, since it is smaller than the sum of its proper divisors (3417028692480).

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

1164256657920 is a wasteful number, since it uses less digits than its factorization.

1164256657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1164256657920 in words is "one trillion, one hundred sixty-four billion, two hundred fifty-six million, six hundred fifty-seven thousand, nine hundred twenty".