51580981598720 has 640 divisors, whose sum is σ = 153925545134592. Its totient is φ = 16172974080000.

The previous prime is 51580981598717. The next prime is 51580981598749. The reversal of 51580981598720 is 2789518908515.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (68).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3135042014 + ... + 3135058466.

Almost surely, 2^{51580981598720} 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 51580981598720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76962772567296).

51580981598720 is an abundant number, since it is smaller than the sum of its proper divisors (102344563535872).

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

51580981598720 is a wasteful number, since it uses less digits than its factorization.

51580981598720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16792 (or 16776 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 68.

The spelling of 51580981598720 in words is "fifty-one trillion, five hundred eighty billion, nine hundred eighty-one million, five hundred ninety-eight thousand, seven hundred twenty".