93639516160 has 112 divisors (see below), whose sum is σ = 225044620776. Its totient is φ = 37401919488.

The previous prime is 93639516151. The next prime is 93639516167. The reversal of 93639516160 is 6161593639.

It can be written as a sum of positive squares in 4 ways, for example, as 81366421504 + 12273094656 = 285248^2 + 110784^2 .

It is a super-2 number, since 2×93639516160² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (93639516167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40835974 + ... + 40838266.

Almost surely, 2^93639516160 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 93639516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112522310388).

93639516160 is an abundant number, since it is smaller than the sum of its proper divisors (131405104616).

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

93639516160 is an equidigital number, since it uses as much as digits as its factorization.

93639516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 49.

The spelling of 93639516160 in words is "ninety-three billion, six hundred thirty-nine million, five hundred sixteen thousand, one hundred sixty".