97252801200 has 120 divisors (see below), whose sum is σ = 346147971600. Its totient is φ = 25934077440.

The previous prime is 97252801171. The next prime is 97252801223. The reversal of 97252801200 is 210825279.

97252801200 is a `hidden beast` number, since 9 + 7 + 2 + 528 + 0 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4491645 + ... + 4513244.

It is an arithmetic number, because the mean of its divisors is an integer number (2884566430).

Almost surely, 2^97252801200 is an apocalyptic number.

97252801200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97252801200 is an abundant number, since it is smaller than the sum of its proper divisors (248895170400).

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

97252801200 is a wasteful number, since it uses less digits than its factorization.

97252801200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9004916 (or 9004899 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 97252801200 in words is "ninety-seven billion, two hundred fifty-two million, eight hundred one thousand, two hundred".