5879742274560 has 2112 divisors, whose sum is σ = 24694219855872. Its totient is φ = 1167851520000.

The previous prime is 5879742274543. The next prime is 5879742274597. The reversal of 5879742274560 is 654722479785.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 5879742274491 and 5879742274500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38938690485 + ... + 38938690635.

Almost surely, 2^{5879742274560} 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 5879742274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12347109927936).

5879742274560 is an abundant number, since it is smaller than the sum of its proper divisors (18814477581312).

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

5879742274560 is a wasteful number, since it uses less digits than its factorization.

5879742274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 66.

The spelling of 5879742274560 in words is "five trillion, eight hundred seventy-nine billion, seven hundred forty-two million, two hundred seventy-four thousand, five hundred sixty".