54167113728 has 624 divisors, whose sum is σ = 196255835776. Its totient is φ = 14014218240.

The previous prime is 54167113711. The next prime is 54167113729. The reversal of 54167113728 is 82731176145.

54167113728 is a `hidden beast` number, since 541 + 6 + 71 + 1 + 37 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is not an unprimeable number, because it can be changed into a prime (54167113729) 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, 224759688 + ... + 224759928.

Almost surely, 2^54167113728 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 54167113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98127917888).

54167113728 is an abundant number, since it is smaller than the sum of its proper divisors (142088722048).

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

54167113728 is a wasteful number, since it uses less digits than its factorization.

54167113728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 333 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 54167113728 in words is "fifty-four billion, one hundred sixty-seven million, one hundred thirteen thousand, seven hundred twenty-eight".