97794187920 has 1280 divisors, whose sum is σ = 417973248000. Its totient is φ = 20692869120.

The previous prime is 97794187919. The next prime is 97794187973. The reversal of 97794187920 is 2978149779.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 491427981 + ... + 491428179.

It is an arithmetic number, because the mean of its divisors is an integer number (326541600).

Almost surely, 2^97794187920 is an apocalyptic number.

97794187920 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 97794187920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208986624000).

97794187920 is an abundant number, since it is smaller than the sum of its proper divisors (320179060080).

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

97794187920 is a wasteful number, since it uses less digits than its factorization.

97794187920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 63.

The spelling of 97794187920 in words is "ninety-seven billion, seven hundred ninety-four million, one hundred eighty-seven thousand, nine hundred twenty".