97325929987200 has 384 divisors, whose sum is σ = 360583251105600. Its totient is φ = 25953579463680.

The previous prime is 97325929987199. The next prime is 97325929987249. The reversal of 97325929987200 is 278992952379.

97325929987200 is a `hidden beast` number, since 9 + 7 + 3 + 2 + 59 + 299 + 87 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×97325929987200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44959 + ... + 13951841.

Almost surely, 2^{97325929987200} is an apocalyptic number.

97325929987200 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 97325929987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180291625552800).

97325929987200 is an abundant number, since it is smaller than the sum of its proper divisors (263257321118400).

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

97325929987200 is an equidigital number, since it uses as much as digits as its factorization.

97325929987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13906928 (or 13906893 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 97325929987200 in words is "ninety-seven trillion, three hundred twenty-five billion, nine hundred twenty-nine million, nine hundred eighty-seven thousand, two hundred".