97247972160 has 504 divisors, whose sum is σ = 354473807688. Its totient is φ = 24455577600.

The previous prime is 97247972153. The next prime is 97247972183. The reversal of 97247972160 is 6127974279.

97247972160 is a `hidden beast` number, since 9 + 7 + 2 + 479 + 7 + 2 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8238829824 + 89009142336 = 90768^2 + 298344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 97247972097 and 97247972106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113474452 + ... + 113475308.

It is an arithmetic number, because the mean of its divisors is an integer number (703321047).

Almost surely, 2^97247972160 is an apocalyptic number.

97247972160 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 97247972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177236903844).

97247972160 is an abundant number, since it is smaller than the sum of its proper divisors (257225835528).

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

97247972160 is a wasteful number, since it uses less digits than its factorization.

97247972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 97247972160 in words is "ninety-seven billion, two hundred forty-seven million, nine hundred seventy-two thousand, one hundred sixty".