97316251200 has 1344 divisors, whose sum is σ = 427690483200. Its totient is φ = 21319925760.

The previous prime is 97316251189. The next prime is 97316251213. The reversal of 97316251200 is 215261379.

97316251200 is a `hidden beast` number, since 9 + 7 + 3 + 1 + 625 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 710337532 + ... + 710337668.

Almost surely, 2^97316251200 is an apocalyptic number.

97316251200 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 97316251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213845241600).

97316251200 is an abundant number, since it is smaller than the sum of its proper divisors (330374232000).

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

97316251200 is a wasteful number, since it uses less digits than its factorization.

97316251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 97316251200 in words is "ninety-seven billion, three hundred sixteen million, two hundred fifty-one thousand, two hundred".