5978559676320 has 1344 divisors, whose sum is σ = 27956075325696. Its totient is φ = 1169191895040.

The previous prime is 5978559676307. The next prime is 5978559676321. The reversal of 5978559676320 is 236769558795.

5978559676320 is a `hidden beast` number, since 5 + 9 + 7 + 8 + 5 + 596 + 7 + 6 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5978559676321) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 152662182 + ... + 152701338.

It is an arithmetic number, because the mean of its divisors is an integer number (20800651284).

Almost surely, 2^{5978559676320} 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 5978559676320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13978037662848).

5978559676320 is an abundant number, since it is smaller than the sum of its proper divisors (21977515649376).

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

5978559676320 is a wasteful number, since it uses less digits than its factorization.

5978559676320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39225 (or 39202 counting only the distinct ones).

The product of its (nonzero) digits is 857304000, while the sum is 72.

The spelling of 5978559676320 in words is "five trillion, nine hundred seventy-eight billion, five hundred fifty-nine million, six hundred seventy-six thousand, three hundred twenty".