55858900 has 72 divisors (see below), whose sum is σ = 128769536. Its totient is φ = 20995200.

The previous prime is 55858897. The next prime is 55858939. The reversal of 55858900 is 985855.

55858900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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, 114457 + ... + 114943.

Almost surely, 2^55858900 is an apocalyptic number.

55858900 is a gapful number since it is divisible by the number (50) 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 55858900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64384768).

55858900 is an abundant number, since it is smaller than the sum of its proper divisors (72910636).

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

55858900 is a wasteful number, since it uses less digits than its factorization.

55858900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 40.

The square root of 55858900 is about 7473.8811871744. The cubic root of 55858900 is about 382.2646394070.

The spelling of 55858900 in words is "fifty-five million, eight hundred fifty-eight thousand, nine hundred".