1056153600 has 336 divisors, whose sum is σ = 3900464640. Its totient is φ = 280166400.

The previous prime is 1056153587. The next prime is 1056153649. The reversal of 1056153600 is 63516501.

It is a happy number.

1056153600 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 1 + 53 + 600 = 666.

It is a super-2 number, since 2×1056153600² = 2230920853585920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5529505 + ... + 5529695.

Almost surely, 2^1056153600 is an apocalyptic number.

1056153600 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 1056153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950232320).

1056153600 is an abundant number, since it is smaller than the sum of its proper divisors (2844311040).

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

1056153600 is an equidigital number, since it uses as much as digits as its factorization.

1056153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1056153600 is about 32498.5168892367. The cubic root of 1056153600 is about 1018.3780450497.

The spelling of 1056153600 in words is "one billion, fifty-six million, one hundred fifty-three thousand, six hundred".