54918864000 has 2048 divisors, whose sum is σ = 273737318400. Its totient is φ = 10450944000.

The previous prime is 54918863891. The next prime is 54918864023. The reversal of 54918864000 is 46881945.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 432431937 + ... + 432432063.

It is an arithmetic number, because the mean of its divisors is an integer number (133660800).

Almost surely, 2^54918864000 is an apocalyptic number.

54918864000 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 54918864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136868659200).

54918864000 is an abundant number, since it is smaller than the sum of its proper divisors (218818454400).

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

54918864000 is a wasteful number, since it uses less digits than its factorization.

54918864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 54918864000 in words is "fifty-four billion, nine hundred eighteen million, eight hundred sixty-four thousand".