1161564307200 has 648 divisors, whose sum is σ = 4537115856000. Its totient is φ = 281173401600.

The previous prime is 1161564307181. The next prime is 1161564307207. The reversal of 1161564307200 is 27034651611.

1161564307200 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 5 + 643 + 0 + 7 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×1161564307200² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161564307207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 774892051 + ... + 774893549.

It is an arithmetic number, because the mean of its divisors is an integer number (7001722000).

Almost surely, 2^{1161564307200} is an apocalyptic number.

1161564307200 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 1161564307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268557928000).

1161564307200 is an abundant number, since it is smaller than the sum of its proper divisors (3375551548800).

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

1161564307200 is a wasteful number, since it uses less digits than its factorization.

1161564307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 1161564307200 its reverse (27034651611), we get a palindrome (1188598958811).

The spelling of 1161564307200 in words is "one trillion, one hundred sixty-one billion, five hundred sixty-four million, three hundred seven thousand, two hundred".