54027792000 has 2304 divisors, whose sum is σ = 264113740800. Its totient is φ = 10450944000.

The previous prime is 54027791977. The next prime is 54027792001. The reversal of 54027792000 is 29772045.

54027792000 is a `hidden beast` number, since 540 + 27 + 7 + 92 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54027792001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1742831985 + ... + 1742832015.

It is an arithmetic number, because the mean of its divisors is an integer number (114632700).

Almost surely, 2^54027792000 is an apocalyptic number.

54027792000 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 54027792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132056870400).

54027792000 is an abundant number, since it is smaller than the sum of its proper divisors (210085948800).

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

54027792000 is a wasteful number, since it uses less digits than its factorization.

54027792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 54027792000 in words is "fifty-four billion, twenty-seven million, seven hundred ninety-two thousand".