5978597657760 has 1536 divisors, whose sum is σ = 27305297510400. Its totient is φ = 1187645276160.

The previous prime is 5978597657749. The next prime is 5978597657783. The reversal of 5978597657760 is 677567958795.

It is a self number, because there is not a number n which added to its sum of digits gives 5978597657760.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 450902011 + ... + 450915269.

It is an arithmetic number, because the mean of its divisors is an integer number (17776886400).

Almost surely, 2^{5978597657760} 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 5978597657760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13652648755200).

5978597657760 is an abundant number, since it is smaller than the sum of its proper divisors (21326699852640).

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

5978597657760 is a wasteful number, since it uses less digits than its factorization.

5978597657760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13371 (or 13357 counting only the distinct ones).

The product of its (nonzero) digits is 7001316000, while the sum is 81.

The spelling of 5978597657760 in words is "five trillion, nine hundred seventy-eight billion, five hundred ninety-seven million, six hundred fifty-seven thousand, seven hundred sixty".