54013504000 has 320 divisors, whose sum is σ = 145212312960. Its totient is φ = 19972915200.

The previous prime is 54013503989. The next prime is 54013504063. The reversal of 54013504000 is 40531045.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×54013504000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52287484 + ... + 52288516.

It is an arithmetic number, because the mean of its divisors is an integer number (453788478).

Almost surely, 2^54013504000 is an apocalyptic number.

54013504000 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 54013504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72606156480).

54013504000 is an abundant number, since it is smaller than the sum of its proper divisors (91198808960).

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

54013504000 is a wasteful number, since it uses less digits than its factorization.

54013504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The spelling of 54013504000 in words is "fifty-four billion, thirteen million, five hundred four thousand".