54876191328 has 288 divisors, whose sum is σ = 186234048000. Its totient is φ = 15313100544.

The previous prime is 54876191323. The next prime is 54876191329. The reversal of 54876191328 is 82319167845.

54876191328 is a `hidden beast` number, since 5 + 4 + 8 + 7 + 619 + 13 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×54876191328² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54876191323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4241253 + ... + 4254171.

It is an arithmetic number, because the mean of its divisors is an integer number (646646000).

Almost surely, 2^54876191328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54876191328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93117024000).

54876191328 is an abundant number, since it is smaller than the sum of its proper divisors (131357856672).

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

54876191328 is a wasteful number, since it uses less digits than its factorization.

54876191328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12999 (or 12974 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 54876191328 in words is "fifty-four billion, eight hundred seventy-six million, one hundred ninety-one thousand, three hundred twenty-eight".