54177792000 has 256 divisors, whose sum is σ = 180341834400. Its totient is φ = 14444134400.

The previous prime is 54177791977. The next prime is 54177792007. The reversal of 54177792000 is 29777145.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54177792007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12285796 + ... + 12290204.

Almost surely, 2^54177792000 is an apocalyptic number.

54177792000 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 54177792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90170917200).

54177792000 is an abundant number, since it is smaller than the sum of its proper divisors (126164042400).

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

54177792000 is an frugal number, since it uses more digits than its factorization.

54177792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The spelling of 54177792000 in words is "fifty-four billion, one hundred seventy-seven million, seven hundred ninety-two thousand".