97959956800 has 672 divisors, whose sum is σ = 284371084800. Its totient is φ = 32965263360.

The previous prime is 97959956777. The next prime is 97959956821. The reversal of 97959956800 is 865995979.

97959956800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 898715146 + ... + 898715254.

Almost surely, 2^97959956800 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 97959956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142185542400).

97959956800 is an abundant number, since it is smaller than the sum of its proper divisors (186411128000).

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

97959956800 is a wasteful number, since it uses less digits than its factorization.

97959956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 67.

The spelling of 97959956800 in words is "ninety-seven billion, nine hundred fifty-nine million, nine hundred fifty-six thousand, eight hundred".