97518620160 has 960 divisors, whose sum is σ = 383394211200. Its totient is φ = 22741254144.

The previous prime is 97518620153. The next prime is 97518620209. The reversal of 97518620160 is 6102681579.

97518620160 is a `hidden beast` number, since 9 + 7 + 5 + 1 + 8 + 620 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 894666186 + ... + 894666294.

It is an arithmetic number, because the mean of its divisors is an integer number (399368970).

Almost surely, 2^97518620160 is an apocalyptic number.

97518620160 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 97518620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191697105600).

97518620160 is an abundant number, since it is smaller than the sum of its proper divisors (285875591040).

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

97518620160 is a wasteful number, since it uses less digits than its factorization.

97518620160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 97518620160 in words is "ninety-seven billion, five hundred eighteen million, six hundred twenty thousand, one hundred sixty".