54294127776 has 432 divisors, whose sum is σ = 185357652480. Its totient is φ = 15023232000.

The previous prime is 54294127739. The next prime is 54294127781. The reversal of 54294127776 is 67772149245.

54294127776 is a `hidden beast` number, since 542 + 9 + 4 + 1 + 27 + 7 + 76 = 666.

It is a super-2 number, since 2×54294127776² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72295401 + ... + 72296151.

It is an arithmetic number, because the mean of its divisors is an integer number (429068640).

Almost surely, 2^54294127776 is an apocalyptic number.

54294127776 is a gapful number since it is divisible by the number (56) 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 54294127776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92678826240).

54294127776 is an abundant number, since it is smaller than the sum of its proper divisors (131063524704).

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

54294127776 is a wasteful number, since it uses less digits than its factorization.

54294127776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 919 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 54294127776 in words is "fifty-four billion, two hundred ninety-four million, one hundred twenty-seven thousand, seven hundred seventy-six".