55801900 has 72 divisors (see below), whose sum is σ = 150990336. Its totient is φ = 17390400.

The previous prime is 55801877. The next prime is 55801901. The reversal of 55801900 is 910855.

55801900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55801900² = 6227704087220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (55801901) by changing a digit.

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, 4077 + ... + 11323.

It is an arithmetic number, because the mean of its divisors is an integer number (2097088).

Almost surely, 2^55801900 is an apocalyptic number.

55801900 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 55801900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75495168).

55801900 is an abundant number, since it is smaller than the sum of its proper divisors (95188436).

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

55801900 is a wasteful number, since it uses less digits than its factorization.

55801900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 55801900 is about 7470.0669341044. The cubic root of 55801900 is about 382.1345706084.

The spelling of 55801900 in words is "fifty-five million, eight hundred one thousand, nine hundred".