97049164800 has 1584 divisors, whose sum is σ = 415642334688. Its totient is φ = 19818086400.

The previous prime is 97049164777. The next prime is 97049164819. The reversal of 97049164800 is 846194079.

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 97049164800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2367052780 + ... + 2367052820.

Almost surely, 2^97049164800 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 97049164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207821167344).

97049164800 is an abundant number, since it is smaller than the sum of its proper divisors (318593169888).

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

97049164800 is a wasteful number, since it uses less digits than its factorization.

97049164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 97049164800 in words is "ninety-seven billion, forty-nine million, one hundred sixty-four thousand, eight hundred".