10457575600 has 120 divisors (see below), whose sum is σ = 26299879200. Its totient is φ = 3988469760.

The previous prime is 10457575553. The next prime is 10457575627. The reversal of 10457575600 is 657575401.

It is a happy number.

10457575600 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 (40).

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 23 ways as a sum of consecutive naturals, for example, 3209172 + ... + 3212428.

It is an arithmetic number, because the mean of its divisors is an integer number (219165660).

Almost surely, 2^10457575600 is an apocalyptic number.

10457575600 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 10457575600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13149939600).

10457575600 is an abundant number, since it is smaller than the sum of its proper divisors (15842303600).

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

10457575600 is a wasteful number, since it uses less digits than its factorization.

10457575600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 40.

The spelling of 10457575600 in words is "ten billion, four hundred fifty-seven million, five hundred seventy-five thousand, six hundred".