54250981936128 has 528 divisors, whose sum is σ = 163606403600640. Its totient is φ = 17955466297344.

The previous prime is 54250981936087. The next prime is 54250981936133. The reversal of 54250981936128 is 82163918905245.

54250981936128 is a `hidden beast` number, since 5 + 4 + 2 + 5 + 0 + 9 + 8 + 1 + 9 + 3 + 612 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22708655958 + ... + 22708658346.

It is an arithmetic number, because the mean of its divisors is an integer number (309860612880).

Almost surely, 2^{54250981936128} 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 54250981936128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81803201800320).

54250981936128 is an abundant number, since it is smaller than the sum of its proper divisors (109355421664512).

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

54250981936128 is a wasteful number, since it uses less digits than its factorization.

54250981936128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 54250981936128 in words is "fifty-four trillion, two hundred fifty billion, nine hundred eighty-one million, nine hundred thirty-six thousand, one hundred twenty-eight".