1056025600 has 264 divisors, whose sum is σ = 3070303488. Its totient is φ = 352665600.

The previous prime is 1056025589. The next prime is 1056025613. The reversal of 1056025600 is 65206501.

It is a super-2 number, since 2×1056025600² = 2230380135710720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12723159 + ... + 12723241.

Almost surely, 2^1056025600 is an apocalyptic number.

1056025600 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 1056025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535151744).

1056025600 is an abundant number, since it is smaller than the sum of its proper divisors (2014277888).

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

1056025600 is an equidigital number, since it uses as much as digits as its factorization.

1056025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 1056025600 is about 32496.5475089278. The cubic root of 1056025600 is about 1018.3369027840.

The spelling of 1056025600 in words is "one billion, fifty-six million, twenty-five thousand, six hundred".