97712836531200 has 3960 divisors, whose sum is σ = 427923408526944. Its totient is φ = 21929066496000.

The previous prime is 97712836531169. The next prime is 97712836531213. The reversal of 97712836531200 is 213563821779.

97712836531200 is a `hidden beast` number, since 9 + 7 + 7 + 1 + 2 + 83 + 6 + 531 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1601849779170 + ... + 1601849779230.

Almost surely, 2^{97712836531200} is an apocalyptic number.

97712836531200 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 97712836531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213961704263472).

97712836531200 is an abundant number, since it is smaller than the sum of its proper divisors (330210571995744).

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

97712836531200 is an equidigital number, since it uses as much as digits as its factorization.

97712836531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 97712836531200 in words is "ninety-seven trillion, seven hundred twelve billion, eight hundred thirty-six million, five hundred thirty-one thousand, two hundred".