97659631200 has 144 divisors (see below), whose sum is σ = 317985647616. Its totient is φ = 26034086400.

The previous prime is 97659631163. The next prime is 97659631207. The reversal of 97659631200 is 213695679.

It is a super-2 number, since 2×97659631200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 97659631200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97659631207) 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, 11590189 + ... + 11598611.

It is an arithmetic number, because the mean of its divisors is an integer number (2208233664).

Almost surely, 2^97659631200 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 97659631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158992823808).

97659631200 is an abundant number, since it is smaller than the sum of its proper divisors (220326016416).

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

97659631200 is a wasteful number, since it uses less digits than its factorization.

97659631200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13277 (or 13264 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The spelling of 97659631200 in words is "ninety-seven billion, six hundred fifty-nine million, six hundred thirty-one thousand, two hundred".