54125358541056 has 1620 divisors, whose sum is σ = 186596432305920. Its totient is φ = 15648982272000.

The previous prime is 54125358541031. The next prime is 54125358541073. The reversal of 54125358541056 is 65014585352145.

54125358541056 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 5 + 3 + 585 + 4 + 1 + 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 = 54125358540993 and 54125358541011.

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 762328993501 + ... + 762328993571.

Almost surely, 2^{54125358541056} 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 54125358541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93298216152960).

54125358541056 is an abundant number, since it is smaller than the sum of its proper divisors (132471073764864).

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

54125358541056 is an frugal number, since it uses more digits than its factorization.

54125358541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 14400000, while the sum is 54.

The spelling of 54125358541056 in words is "fifty-four trillion, one hundred twenty-five billion, three hundred fifty-eight million, five hundred forty-one thousand, fifty-six".