97056916320 has 576 divisors, whose sum is σ = 384895203840. Its totient is φ = 20123910144.

The previous prime is 97056916289. The next prime is 97056916393. The reversal of 97056916320 is 2361965079.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 97056916320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33501112 + ... + 33504008.

It is an arithmetic number, because the mean of its divisors is an integer number (668220840).

Almost surely, 2^97056916320 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 97056916320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192447601920).

97056916320 is an abundant number, since it is smaller than the sum of its proper divisors (287838287520).

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

97056916320 is a wasteful number, since it uses less digits than its factorization.

97056916320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The spelling of 97056916320 in words is "ninety-seven billion, fifty-six million, nine hundred sixteen thousand, three hundred twenty".