1056385800 has 240 divisors, whose sum is σ = 3732620100. Its totient is φ = 276825600.

The previous prime is 1056385793. The next prime is 1056385823. The reversal of 1056385800 is 85836501.

1056385800 is a `hidden beast` number, since 10 + 5 + 63 + 8 + 580 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 107868996 + 948516804 = 10386^2 + 30798^2 .

It is a super-2 number, since 2×1056385800² = 2231901916883280000, which contains 22 as substring.

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

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 59 ways as a sum of consecutive naturals, for example, 987666 + ... + 988734.

Almost surely, 2^1056385800 is an apocalyptic number.

1056385800 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 1056385800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866310050).

1056385800 is an abundant number, since it is smaller than the sum of its proper divisors (2676234300).

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

1056385800 is a wasteful number, since it uses less digits than its factorization.

1056385800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1056385800 is about 32502.0891636215. The cubic root of 1056385800 is about 1018.4526712072.

The spelling of 1056385800 in words is "one billion, fifty-six million, three hundred eighty-five thousand, eight hundred".