97164753120 has 192 divisors, whose sum is σ = 341578218240. Its totient is φ = 25796196864.

The previous prime is 97164753089. The next prime is 97164753143. The reversal of 97164753120 is 2135746179.

97164753120 is a `hidden beast` number, since 9 + 71 + 6 + 47 + 531 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931099 + ... + 1030181.

It is an arithmetic number, because the mean of its divisors is an integer number (1779053220).

Almost surely, 2^97164753120 is an apocalyptic number.

97164753120 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 97164753120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170789109120).

97164753120 is an abundant number, since it is smaller than the sum of its proper divisors (244413465120).

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

97164753120 is a wasteful number, since it uses less digits than its factorization.

97164753120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99334 (or 99320 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 97164753120 in words is "ninety-seven billion, one hundred sixty-four million, seven hundred fifty-three thousand, one hundred twenty".