55593068280960 has 512 divisors, whose sum is σ = 205197675840000. Its totient is φ = 12539390459904.

The previous prime is 55593068280949. The next prime is 55593068280961. The reversal of 55593068280960 is 6908286039555.

It is a junction number, because it is equal to n+sod(n) for n = 55593068280891 and 55593068280900.

It is not an unprimeable number, because it can be changed into a prime (55593068280961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 608799786 + ... + 608891094.

It is an arithmetic number, because the mean of its divisors is an integer number (400776710625).

Almost surely, 2^{55593068280960} 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 55593068280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102598837920000).

55593068280960 is an abundant number, since it is smaller than the sum of its proper divisors (149604607559040).

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

55593068280960 is a wasteful number, since it uses less digits than its factorization.

55593068280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91936 (or 91924 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 66.

The spelling of 55593068280960 in words is "fifty-five trillion, five hundred ninety-three billion, sixty-eight million, two hundred eighty thousand, nine hundred sixty".