54358979596416 has 896 divisors, whose sum is σ = 180416598670080. Its totient is φ = 16167610368000.

The previous prime is 54358979596399. The next prime is 54358979596421. The reversal of 54358979596416 is 61469597985345.

54358979596416 is a `hidden beast` number, since 5 + 4 + 3 + 5 + 8 + 9 + 7 + 9 + 596 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 57039852196 + ... + 57039853148.

Almost surely, 2^{54358979596416} 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 54358979596416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90208299335040).

54358979596416 is an abundant number, since it is smaller than the sum of its proper divisors (126057619073664).

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

54358979596416 is an equidigital number, since it uses as much as digits as its factorization.

54358979596416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1941 counting only the distinct ones).

The product of its digits is 8817984000, while the sum is 81.

The spelling of 54358979596416 in words is "fifty-four trillion, three hundred fifty-eight billion, nine hundred seventy-nine million, five hundred ninety-six thousand, four hundred sixteen".