10257136160 has 96 divisors (see below), whose sum is σ = 25183872000. Its totient is φ = 3943572480.

The previous prime is 10257136151. The next prime is 10257136177. The reversal of 10257136160 is 6163175201.

10257136160 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 (32).

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 15 ways as a sum of consecutive naturals, for example, 732101 + ... + 745979.

It is an arithmetic number, because the mean of its divisors is an integer number (262332000).

Almost surely, 2^10257136160 is an apocalyptic number.

10257136160 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 10257136160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12591936000).

10257136160 is an abundant number, since it is smaller than the sum of its proper divisors (14926735840).

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

10257136160 is a wasteful number, since it uses less digits than its factorization.

10257136160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14074 (or 14066 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 10257136160 in words is "ten billion, two hundred fifty-seven million, one hundred thirty-six thousand, one hundred sixty".