97260707585664 has 192 divisors, whose sum is σ = 333767335674240. Its totient is φ = 26580565997568.

The previous prime is 97260707585599. The next prime is 97260707585677. The reversal of 97260707585664 is 46658570706279.

97260707585664 is a `hidden beast` number, since 9 + 7 + 2 + 6 + 0 + 7 + 0 + 7 + 58 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 97260707585592 and 97260707585601.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262012347 + ... + 262383290.

It is an arithmetic number, because the mean of its divisors is an integer number (1738371539970).

Almost surely, 2^{97260707585664} is an apocalyptic number.

It is an amenable number.

97260707585664 is an abundant number, since it is smaller than the sum of its proper divisors (236506628088576).

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

97260707585664 is a wasteful number, since it uses less digits than its factorization.

97260707585664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524395687 (or 524395672 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 97260707585664 in words is "ninety-seven trillion, two hundred sixty billion, seven hundred seven million, five hundred eighty-five thousand, six hundred sixty-four".