97157715200 has 216 divisors, whose sum is σ = 295977806208. Its totient is φ = 30748631040.

The previous prime is 97157715191. The next prime is 97157715203. The reversal of 97157715200 is 251775179.

It is a super-2 number, since 2×97157715200² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97157715203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498989 + ... + 665811.

Almost surely, 2^97157715200 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 97157715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147988903104).

97157715200 is an abundant number, since it is smaller than the sum of its proper divisors (198820091008).

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

97157715200 is a wasteful number, since it uses less digits than its factorization.

97157715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166869 (or 166850 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 44.

The spelling of 97157715200 in words is "ninety-seven billion, one hundred fifty-seven million, seven hundred fifteen thousand, two hundred".