54132624000 has 2048 divisors, whose sum is σ = 263044454400. Its totient is φ = 10749542400.

The previous prime is 54132623999. The next prime is 54132624037. The reversal of 54132624000 is 42623145.

54132624000 is a `hidden beast` number, since 5 + 4 + 1 + 32 + 624 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×54132624000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3184271992 + ... + 3184272008.

It is an arithmetic number, because the mean of its divisors is an integer number (128439675).

Almost surely, 2^54132624000 is an apocalyptic number.

54132624000 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 54132624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131522227200).

54132624000 is an abundant number, since it is smaller than the sum of its proper divisors (208911830400).

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

54132624000 is an equidigital number, since it uses as much as digits as its factorization.

54132624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 54132624000 in words is "fifty-four billion, one hundred thirty-two million, six hundred twenty-four thousand".