10388513160 has 48 divisors (see below), whose sum is σ = 33762668940. Its totient is φ = 2770270080.

The previous prime is 10388513159. The next prime is 10388513227. The reversal of 10388513160 is 6131588301.

10388513160 is a `hidden beast` number, since 1 + 0 + 3 + 88 + 513 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9286405956 + 1102107204 = 96366^2 + 33198^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14428131 + ... + 14428850.

Almost surely, 2^10388513160 is an apocalyptic number.

10388513160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10388513160 is an abundant number, since it is smaller than the sum of its proper divisors (23374155780).

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

10388513160 is a wasteful number, since it uses less digits than its factorization.

10388513160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28856998 (or 28856991 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10388513160 in words is "ten billion, three hundred eighty-eight million, five hundred thirteen thousand, one hundred sixty".