10456358160 has 160 divisors (see below), whose sum is σ = 34914908160. Its totient is φ = 2580125184.

The previous prime is 10456358137. The next prime is 10456358173. The reversal of 10456358160 is 6185365401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169417 + ... + 222743.

It is an arithmetic number, because the mean of its divisors is an integer number (218218176).

Almost surely, 2^10456358160 is an apocalyptic number.

10456358160 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 10456358160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17457454080).

10456358160 is an abundant number, since it is smaller than the sum of its proper divisors (24458550000).

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

10456358160 is a wasteful number, since it uses less digits than its factorization.

10456358160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53405 (or 53399 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 10456358160 in words is "ten billion, four hundred fifty-six million, three hundred fifty-eight thousand, one hundred sixty".