54873504000 has 1152 divisors, whose sum is σ = 237949071360. Its totient is φ = 12192768000.

The previous prime is 54873503933. The next prime is 54873504001. The reversal of 54873504000 is 40537845.

54873504000 is a `hidden beast` number, since 548 + 73 + 5 + 0 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×54873504000² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (54873504001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 260063895 + ... + 260064105.

Almost surely, 2^54873504000 is an apocalyptic number.

54873504000 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 54873504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118974535680).

54873504000 is an abundant number, since it is smaller than the sum of its proper divisors (183075567360).

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

54873504000 is a wasteful number, since it uses less digits than its factorization.

54873504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 54873504000 in words is "fifty-four billion, eight hundred seventy-three million, five hundred four thousand".