993097425056 has 288 divisors, whose sum is σ = 2264617668096. Its totient is φ = 427909222400.

The previous prime is 993097425049. The next prime is 993097425167. The reversal of 993097425056 is 650524790399.

It is a junction number, because it is equal to n+sod(n) for n = 993097424986 and 993097425004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1246044050 + ... + 1246044846.

It is an arithmetic number, because the mean of its divisors is an integer number (7863255792).

Almost surely, 2^993097425056 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 993097425056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132308834048).

993097425056 is an abundant number, since it is smaller than the sum of its proper divisors (1271520243040).

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

993097425056 is a wasteful number, since it uses less digits than its factorization.

993097425056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 59.

The spelling of 993097425056 in words is "nine hundred ninety-three billion, ninety-seven million, four hundred twenty-five thousand, fifty-six".