10857659904 has 720 divisors, whose sum is σ = 41007094128. Its totient is φ = 2842656768.

The previous prime is 10857659903. The next prime is 10857659929. The reversal of 10857659904 is 40995675801.

10857659904 is a `hidden beast` number, since 10 + 8 + 576 + 59 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10857659903) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79252924 + ... + 79253060.

Almost surely, 2^10857659904 is an apocalyptic number.

10857659904 is a gapful number since it is divisible by the number (14) 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 10857659904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20503547064).

10857659904 is an abundant number, since it is smaller than the sum of its proper divisors (30149434224).

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

10857659904 is an equidigital number, since it uses as much as digits as its factorization.

10857659904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

It can be divided in two parts, 10857 and 659904, that added together give a square (670761 = 819²).

The spelling of 10857659904 in words is "ten billion, eight hundred fifty-seven million, six hundred fifty-nine thousand, nine hundred four".