55921800 has 192 divisors, whose sum is σ = 195076800. Its totient is φ = 13132800.

The previous prime is 55921777. The next prime is 55921841. The reversal of 55921800 is 812955.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244086 + ... + 244314.

It is an arithmetic number, because the mean of its divisors is an integer number (1016025).

Almost surely, 2^55921800 is an apocalyptic number.

55921800 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 55921800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97538400).

55921800 is an abundant number, since it is smaller than the sum of its proper divisors (139155000).

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

55921800 is a wasteful number, since it uses less digits than its factorization.

55921800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 55921800 is about 7478.0879909239. The cubic root of 55921800 is about 382.4080688120.

The spelling of 55921800 in words is "fifty-five million, nine hundred twenty-one thousand, eight hundred".