10857369600 has 1560 divisors, whose sum is σ = 53091834048. Its totient is φ = 2123366400.

The previous prime is 10857369587. The next prime is 10857369623. The reversal of 10857369600 is 696375801.

It is a happy number.

10857369600 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 7 + 36 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 638668792 + ... + 638668808.

Almost surely, 2^10857369600 is an apocalyptic number.

10857369600 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 10857369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26545917024).

10857369600 is an abundant number, since it is smaller than the sum of its proper divisors (42234464448).

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

10857369600 is a wasteful number, since it uses less digits than its factorization.

10857369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10857369600 in words is "ten billion, eight hundred fifty-seven million, three hundred sixty-nine thousand, six hundred".