54138052800 has 1008 divisors, whose sum is σ = 225622225920. Its totient is φ = 12192768000.

The previous prime is 54138052799. The next prime is 54138052823. The reversal of 54138052800 is 825083145.

It is a happy number.

54138052800 is a `hidden beast` number, since 54 + 1 + 3 + 80 + 528 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110260555 + ... + 110261045.

Almost surely, 2^54138052800 is an apocalyptic number.

54138052800 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 54138052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112811112960).

54138052800 is an abundant number, since it is smaller than the sum of its proper divisors (171484173120).

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

54138052800 is a wasteful number, since it uses less digits than its factorization.

54138052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 54138052800 in words is "fifty-four billion, one hundred thirty-eight million, fifty-two thousand, eight hundred".