97887768192 has 256 divisors, whose sum is σ = 292001846400. Its totient is φ = 32281804800.

The previous prime is 97887768179. The next prime is 97887768193. The reversal of 97887768192 is 29186778879.

It is a super-2 number, since 2×97887768192² (a number of 23 digits) contains 22 as substring.

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 97887768192.

It is not an unprimeable number, because it can be changed into a prime (97887768193) 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, 175740778 + ... + 175741334.

Almost surely, 2^97887768192 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 97887768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146000923200).

97887768192 is an abundant number, since it is smaller than the sum of its proper divisors (194114078208).

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

97887768192 is a wasteful number, since it uses less digits than its factorization.

97887768192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1014 counting only the distinct ones).

The product of its digits is 170698752, while the sum is 72.

The spelling of 97887768192 in words is "ninety-seven billion, eight hundred eighty-seven million, seven hundred sixty-eight thousand, one hundred ninety-two".