54540864000 has 1120 divisors, whose sum is σ = 234433495296. Its totient is φ = 12391833600.

The previous prime is 54540863987. The next prime is 54540864017. The reversal of 54540864000 is 46804545.

54540864000 is a `hidden beast` number, since 5 + 4 + 5 + 4 + 0 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 111 ways as a sum of consecutive naturals, for example, 326591917 + ... + 326592083.

Almost surely, 2^54540864000 is an apocalyptic number.

54540864000 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 54540864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117216747648).

54540864000 is an abundant number, since it is smaller than the sum of its proper divisors (179892631296).

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

54540864000 is an frugal number, since it uses more digits than its factorization.

54540864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 54540864000 in words is "fifty-four billion, five hundred forty million, eight hundred sixty-four thousand".