54140976000 has 192 divisors, whose sum is σ = 194434297200. Its totient is φ = 14437555200.

The previous prime is 54140975957. The next prime is 54140976011. The reversal of 54140976000 is 67904145.

54140976000 is a `hidden beast` number, since 5 + 4 + 1 + 40 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43990 + ... + 331989.

Almost surely, 2^54140976000 is an apocalyptic number.

54140976000 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 54140976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97217148600).

54140976000 is an abundant number, since it is smaller than the sum of its proper divisors (140293321200).

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

54140976000 is a wasteful number, since it uses less digits than its factorization.

54140976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376014 (or 375989 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 54140976000 in words is "fifty-four billion, one hundred forty million, nine hundred seventy-six thousand".