97564399592400 has 2880 divisors, whose sum is σ = 409780486656000. Its totient is φ = 22237645547520.

The previous prime is 97564399592351. The next prime is 97564399592411. The reversal of 97564399592400 is 429599346579.

97564399592400 is a `hidden beast` number, since 9 + 7 + 5 + 6 + 43 + 9 + 95 + 92 + 400 = 666.

It is a super-2 number, since 2×97564399592400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 132022191231 + ... + 132022191969.

It is an arithmetic number, because the mean of its divisors is an integer number (142284891200).

Almost surely, 2^{97564399592400} is an apocalyptic number.

97564399592400 is a gapful number since it is divisible by the number (90) 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 97564399592400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204890243328000).

97564399592400 is an abundant number, since it is smaller than the sum of its proper divisors (312216087063600).

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

97564399592400 is a wasteful number, since it uses less digits than its factorization.

97564399592400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 72.

The spelling of 97564399592400 in words is "ninety-seven trillion, five hundred sixty-four billion, three hundred ninety-nine million, five hundred ninety-two thousand, four hundred".