5279619346560 has 1280 divisors, whose sum is σ = 20746171353600. Its totient is φ = 1271670865920.

The previous prime is 5279619346553. The next prime is 5279619346571. The reversal of 5279619346560 is 656439169725.

5279619346560 is a `hidden beast` number, since 5 + 2 + 7 + 9 + 61 + 9 + 3 + 4 + 6 + 560 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6974397702 + ... + 6974398458.

It is an arithmetic number, because the mean of its divisors is an integer number (16207946370).

Almost surely, 2^{5279619346560} 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 5279619346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10373085676800).

5279619346560 is an abundant number, since it is smaller than the sum of its proper divisors (15466552007040).

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

5279619346560 is a wasteful number, since it uses less digits than its factorization.

5279619346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 5279619346560 in words is "five trillion, two hundred seventy-nine billion, six hundred nineteen million, three hundred forty-six thousand, five hundred sixty".