54257231293056 has 1024 divisors, whose sum is σ = 192473244057600. Its totient is φ = 14858990714880.

The previous prime is 54257231293033. The next prime is 54257231293123. The reversal of 54257231293056 is 65039213275245.

54257231293056 is a `hidden beast` number, since 5 + 4 + 2 + 572 + 3 + 12 + 9 + 3 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 54257231292993 and 54257231293011.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1609846701 + ... + 1609880403.

It is an arithmetic number, because the mean of its divisors is an integer number (187962152400).

Almost surely, 2^{54257231293056} 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 54257231293056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96236622028800).

54257231293056 is an abundant number, since it is smaller than the sum of its proper divisors (138216012764544).

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

54257231293056 is a wasteful number, since it uses less digits than its factorization.

54257231293056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33854 (or 33836 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 54257231293056 in words is "fifty-four trillion, two hundred fifty-seven billion, two hundred thirty-one million, two hundred ninety-three thousand, fifty-six".