54558393009120 has 3072 divisors, whose sum is σ = 262116062208000. Its totient is φ = 10361483919360.

The previous prime is 54558393009067. The next prime is 54558393009191. The reversal of 54558393009120 is 2190039385545.

54558393009120 is a `hidden beast` number, since 5 + 4 + 5 + 583 + 9 + 30 + 0 + 9 + 1 + 20 = 666.

54558393009120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 38179420566 + ... + 38179421994.

It is an arithmetic number, because the mean of its divisors is an integer number (85324239000).

Almost surely, 2^{54558393009120} 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 54558393009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131058031104000).

54558393009120 is an abundant number, since it is smaller than the sum of its proper divisors (207557669198880).

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

54558393009120 is a wasteful number, since it uses less digits than its factorization.

54558393009120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 54558393009120 in words is "fifty-four trillion, five hundred fifty-eight billion, three hundred ninety-three million, nine thousand, one hundred twenty".