54556137917568 has 768 divisors, whose sum is σ = 197412571699200. Its totient is φ = 14100668448768.

The previous prime is 54556137917551. The next prime is 54556137917597. The reversal of 54556137917568 is 86571973165545.

54556137917568 is a `hidden beast` number, since 5 + 4 + 5 + 56 + 1 + 3 + 7 + 9 + 1 + 7 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 54556137917496 and 54556137917505.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2089699971 + ... + 2089726077.

It is an arithmetic number, because the mean of its divisors is an integer number (257047619400).

Almost surely, 2^{54556137917568} 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 54556137917568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98706285849600).

54556137917568 is an abundant number, since it is smaller than the sum of its proper divisors (142856433781632).

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

54556137917568 is a wasteful number, since it uses less digits than its factorization.

54556137917568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26769 (or 26754 counting only the distinct ones).

The product of its digits is 952560000, while the sum is 72.

The spelling of 54556137917568 in words is "fifty-four trillion, five hundred fifty-six billion, one hundred thirty-seven million, nine hundred seventeen thousand, five hundred sixty-eight".