97885380096 has 320 divisors, whose sum is σ = 332288732160. Its totient is φ = 27870289920.

The previous prime is 97885380077. The next prime is 97885380097. The reversal of 97885380096 is 69008358879.

97885380096 is a `hidden beast` number, since 9 + 7 + 8 + 8 + 538 + 0 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97885380097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30673861 + ... + 30677051.

It is an arithmetic number, because the mean of its divisors is an integer number (1038402288).

Almost surely, 2^97885380096 is an apocalyptic number.

97885380096 is a gapful number since it is divisible by the number (96) 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 97885380096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166144366080).

97885380096 is an abundant number, since it is smaller than the sum of its proper divisors (234403352064).

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

97885380096 is a wasteful number, since it uses less digits than its factorization.

97885380096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 97885380096 in words is "ninety-seven billion, eight hundred eighty-five million, three hundred eighty thousand, ninety-six".