55977600 has 384 divisors, whose sum is σ = 227664000. Its totient is φ = 12042240.

The previous prime is 55977563. The next prime is 55977613. The reversal of 55977600 is 677955.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3292792 + ... + 3292808.

It is an arithmetic number, because the mean of its divisors is an integer number (592875).

Almost surely, 2^55977600 is an apocalyptic number.

55977600 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 55977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113832000).

55977600 is an abundant number, since it is smaller than the sum of its proper divisors (171686400).

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

55977600 is a wasteful number, since it uses less digits than its factorization.

55977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 55977600 is about 7481.8179608969. The cubic root of 55977600 is about 382.5352182532.

The spelling of 55977600 in words is "fifty-five million, nine hundred seventy-seven thousand, six hundred".