54272071656 has 320 divisors, whose sum is σ = 177876388800. Its totient is φ = 15284505600.

The previous prime is 54272071591. The next prime is 54272071699. The reversal of 54272071656 is 65617027245.

54272071656 is a `hidden beast` number, since 5 + 427 + 207 + 16 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7174116 + ... + 7181676.

It is an arithmetic number, because the mean of its divisors is an integer number (555863715).

Almost surely, 2^54272071656 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 54272071656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88938194400).

54272071656 is an abundant number, since it is smaller than the sum of its proper divisors (123604317144).

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

54272071656 is a wasteful number, since it uses less digits than its factorization.

54272071656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7662 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 54272071656 in words is "fifty-four billion, two hundred seventy-two million, seventy-one thousand, six hundred fifty-six".