10857475200 has 576 divisors, whose sum is σ = 42391036800. Its totient is φ = 2426265600.

The previous prime is 10857475171. The next prime is 10857475241. The reversal of 10857475200 is 257475801.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15100441 + ... + 15101159.

It is an arithmetic number, because the mean of its divisors is an integer number (73595550).

Almost surely, 2^10857475200 is an apocalyptic number.

10857475200 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 10857475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21195518400).

10857475200 is an abundant number, since it is smaller than the sum of its proper divisors (31533561600).

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

10857475200 is a wasteful number, since it uses less digits than its factorization.

10857475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 39.

The spelling of 10857475200 in words is "ten billion, eight hundred fifty-seven million, four hundred seventy-five thousand, two hundred".