10200512160 has 72 divisors (see below), whose sum is σ = 34809252660. Its totient is φ = 2720136192.

The previous prime is 10200512107. The next prime is 10200512173. The reversal of 10200512160 is 6121500201.

It can be written as a sum of positive squares in 2 ways, for example, as 8745242256 + 1455269904 = 93516^2 + 38148^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3540405 + ... + 3543284.

Almost surely, 2^10200512160 is an apocalyptic number.

10200512160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200512160 is an abundant number, since it is smaller than the sum of its proper divisors (24608740500).

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

10200512160 is a wasteful number, since it uses less digits than its factorization.

10200512160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7083710 (or 7083699 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 10200512160 in words is "ten billion, two hundred million, five hundred twelve thousand, one hundred sixty".