55468800 has 270 divisors, whose sum is σ = 207010188. Its totient is φ = 14653440.

The previous prime is 55468783. The next prime is 55468811. The reversal of 55468800 is 886455.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 518347 + ... + 518453.

Almost surely, 2^55468800 is an apocalyptic number.

55468800 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 55468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103505094).

55468800 is an abundant number, since it is smaller than the sum of its proper divisors (151541388).

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

55468800 is a wasteful number, since it uses less digits than its factorization.

55468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 55468800 is about 7447.7379116078. The cubic root of 55468800 is about 381.3726900659.

The spelling of 55468800 in words is "fifty-five million, four hundred sixty-eight thousand, eight hundred".