10056871800 has 288 divisors, whose sum is σ = 34357265280. Its totient is φ = 2636064000.

The previous prime is 10056871771. The next prime is 10056871819. The reversal of 10056871800 is 817865001.

10056871800 is a `hidden beast` number, since 10 + 0 + 568 + 7 + 1 + 80 + 0 = 666.

It is a super-2 number, since 2×10056871800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 44303287 + ... + 44303513.

It is an arithmetic number, because the mean of its divisors is an integer number (119296060).

Almost surely, 2^10056871800 is an apocalyptic number.

10056871800 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 10056871800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17178632640).

10056871800 is an abundant number, since it is smaller than the sum of its proper divisors (24300393480).

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

10056871800 is a wasteful number, since it uses less digits than its factorization.

10056871800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 10056871800 in words is "ten billion, fifty-six million, eight hundred seventy-one thousand, eight hundred".