1055512800 has 216 divisors, whose sum is σ = 3842879040. Its totient is φ = 272332800.

The previous prime is 1055512781. The next prime is 1055512811. The reversal of 1055512800 is 82155501.

1055512800 is a `hidden beast` number, since 105 + 551 + 2 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×1055512800² = 2228214541927680000, which contains 22 as substring.

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, 220836 + ... + 225564.

Almost surely, 2^1055512800 is an apocalyptic number.

1055512800 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 1055512800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921439520).

1055512800 is an abundant number, since it is smaller than the sum of its proper divisors (2787366240).

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

1055512800 is a wasteful number, since it uses less digits than its factorization.

1055512800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4770 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 1055512800 is about 32488.6564819169. The cubic root of 1055512800 is about 1018.1720432349.

The spelling of 1055512800 in words is "one billion, fifty-five million, five hundred twelve thousand, eight hundred".