54072238608 has 480 divisors, whose sum is σ = 172801440000. Its totient is φ = 16158320640.

The previous prime is 54072238553. The next prime is 54072238621. The reversal of 54072238608 is 80683227045.

54072238608 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 2 + 2 + 38 + 608 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 271719693 + ... + 271719891.

It is an arithmetic number, because the mean of its divisors is an integer number (360003000).

Almost surely, 2^54072238608 is an apocalyptic number.

54072238608 is a gapful number since it is divisible by the number (58) 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 54072238608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400720000).

54072238608 is an abundant number, since it is smaller than the sum of its proper divisors (118729201392).

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

54072238608 is a wasteful number, since it uses less digits than its factorization.

54072238608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 54072238608 in words is "fifty-four billion, seventy-two million, two hundred thirty-eight thousand, six hundred eight".