1056916800 has 252 divisors, whose sum is σ = 3955267680. Its totient is φ = 266941440.

The previous prime is 1056916787. The next prime is 1056916811. The reversal of 1056916800 is 86196501.

1056916800 is a `hidden beast` number, since 1 + 0 + 569 + 16 + 80 + 0 = 666.

It is a super-2 number, since 2×1056916800² = 2234146244244480000, which 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 271669 + ... + 275531.

Almost surely, 2^1056916800 is an apocalyptic number.

1056916800 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 1056916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977633840).

1056916800 is an abundant number, since it is smaller than the sum of its proper divisors (2898350880).

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

1056916800 is a wasteful number, since it uses less digits than its factorization.

1056916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1056916800 is about 32510.2568430334. The cubic root of 1056916800 is about 1018.6232868357.

The spelling of 1056916800 in words is "one billion, fifty-six million, nine hundred sixteen thousand, eight hundred".