1055564400 has 120 divisors (see below), whose sum is σ = 3688763904. Its totient is φ = 255891200.

The previous prime is 1055564381. The next prime is 1055564413. The reversal of 1055564400 is 44655501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1055564400² = 2228432405094720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 26784 + ... + 53183.

Almost surely, 2^1055564400 is an apocalyptic number.

1055564400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055564400 is an abundant number, since it is smaller than the sum of its proper divisors (2633199504).

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

1055564400 is a wasteful number, since it uses less digits than its factorization.

1055564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79999 (or 79988 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 1055564400 is about 32489.4505955395. The cubic root of 1055564400 is about 1018.1886344820.

The spelling of 1055564400 in words is "one billion, fifty-five million, five hundred sixty-four thousand, four hundred".