152101600560 has 480 divisors, whose sum is σ = 640563251328. Its totient is φ = 31485542400.

The previous prime is 152101600529. The next prime is 152101600579. The reversal of 152101600560 is 65006101251.

It is a happy number.

152101600560 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 0 + 1 + 600 + 56 + 0 = 666.

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, 3450660 + ... + 3494460.

Almost surely, 2^152101600560 is an apocalyptic number.

152101600560 is a gapful number since it is divisible by the number (10) 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 152101600560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320281625664).

152101600560 is an abundant number, since it is smaller than the sum of its proper divisors (488461650768).

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

152101600560 is a wasteful number, since it uses less digits than its factorization.

152101600560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43893 (or 43884 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 152101600560 in words is "one hundred fifty-two billion, one hundred one million, six hundred thousand, five hundred sixty".