97856447006592 has 640 divisors, whose sum is σ = 301148897544000. Its totient is φ = 31519378243584.

The previous prime is 97856447006579. The next prime is 97856447006639. The reversal of 97856447006592 is 29560074465879.

97856447006592 is a `hidden beast` number, since 9 + 7 + 8 + 5 + 6 + 4 + 470 + 0 + 65 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 97856447006592.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69450990784 + ... + 69450992192.

Almost surely, 2^{97856447006592} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97856447006592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150574448772000).

97856447006592 is an abundant number, since it is smaller than the sum of its proper divisors (203292450537408).

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

97856447006592 is a wasteful number, since it uses less digits than its factorization.

97856447006592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 97856447006592 in words is "ninety-seven trillion, eight hundred fifty-six billion, four hundred forty-seven million, six thousand, five hundred ninety-two".