97197224572800 has 3072 divisors, whose sum is σ = 421335032832000. Its totient is φ = 21618347212800.

The previous prime is 97197224572769. The next prime is 97197224572831. The reversal of 97197224572800 is 827542279179.

97197224572800 is a `hidden beast` number, since 9 + 71 + 97 + 2 + 2 + 457 + 28 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (97197224572769) and next prime (97197224572831).

It is a super-2 number, since 2×97197224572800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 190957218946 + ... + 190957219454.

It is an arithmetic number, because the mean of its divisors is an integer number (137153331000).

Almost surely, 2^{97197224572800} is an apocalyptic number.

97197224572800 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 97197224572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210667516416000).

97197224572800 is an abundant number, since it is smaller than the sum of its proper divisors (324137808259200).

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

97197224572800 is a wasteful number, since it uses less digits than its factorization.

97197224572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 97197224572800 in words is "ninety-seven trillion, one hundred ninety-seven billion, two hundred twenty-four million, five hundred seventy-two thousand, eight hundred".