10402643160 has 384 divisors, whose sum is σ = 43442481600. Its totient is φ = 2194698240.

The previous prime is 10402643149. The next prime is 10402643189. The reversal of 10402643160 is 6134620401.

10402643160 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 2 + 643 + 16 + 0 = 666.

10402643160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 680400 + ... + 695520.

Almost surely, 2^10402643160 is an apocalyptic number.

10402643160 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 10402643160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21721240800).

10402643160 is an abundant number, since it is smaller than the sum of its proper divisors (33039838440).

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

10402643160 is a wasteful number, since it uses less digits than its factorization.

10402643160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15168 (or 15151 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10402643160 in words is "ten billion, four hundred two million, six hundred forty-three thousand, one hundred sixty".