55800900 has 135 divisors (see below), whose sum is σ = 183090061. Its totient is φ = 14700960.

The previous prime is 55800887. The next prime is 55800911. The reversal of 55800900 is 900855.

The square root of 55800900 is 7470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20088324 + 35712576 = 4482^2 + 5976^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×55800900² = 6227480881620000, which contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 672259 + ... + 672341.

Almost surely, 2^55800900 is an apocalyptic number.

55800900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55800900 is the 7470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55800900

55800900 is an abundant number, since it is smaller than the sum of its proper divisors (127289161).

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

55800900 is a wasteful number, since it uses less digits than its factorization.

55800900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The cubic root of 55800900 is about 382.1322879092.

The spelling of 55800900 in words is "fifty-five million, eight hundred thousand, nine hundred".