97597015200 has 432 divisors, whose sum is σ = 350100092160. Its totient is φ = 25580298240.

The previous prime is 97597015183. The next prime is 97597015231. The reversal of 97597015200 is 251079579.

97597015200 is a `hidden beast` number, since 9 + 7 + 59 + 70 + 1 + 520 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113089969 + ... + 113090831.

It is an arithmetic number, because the mean of its divisors is an integer number (810416880).

Almost surely, 2^97597015200 is an apocalyptic number.

97597015200 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 97597015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175050046080).

97597015200 is an abundant number, since it is smaller than the sum of its proper divisors (252503076960).

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

97597015200 is a wasteful number, since it uses less digits than its factorization.

97597015200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The spelling of 97597015200 in words is "ninety-seven billion, five hundred ninety-seven million, fifteen thousand, two hundred".