1056116000 has 48 divisors (see below), whose sum is σ = 2594886840. Its totient is φ = 422444800.

The previous prime is 1056115993. The next prime is 1056116021. The reversal of 1056116000 is 6116501.

It is a happy number.

1056116000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 80928016 + 975187984 = 8996^2 + 31228^2 .

It is a super-2 number, since 2×1056116000² = 2230762010912000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128015 + ... + 136014.

Almost surely, 2^1056116000 is an apocalyptic number.

1056116000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056116000 is an abundant number, since it is smaller than the sum of its proper divisors (1538770840).

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

1056116000 is an equidigital number, since it uses as much as digits as its factorization.

1056116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264054 (or 264036 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1056116000 is about 32497.9383961506. The cubic root of 1056116000 is about 1018.3659598540.

The spelling of 1056116000 in words is "one billion, fifty-six million, one hundred sixteen thousand".