5679587777760 has 384 divisors, whose sum is σ = 22098254008320. Its totient is φ = 1352953497600.

The previous prime is 5679587777657. The next prime is 5679587777761. The reversal of 5679587777760 is 677777859765.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 5679587777760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5679587777761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109795 + ... + 3372125.

It is an arithmetic number, because the mean of its divisors is an integer number (57547536480).

Almost surely, 2^{5679587777760} 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 5679587777760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11049127004160).

5679587777760 is an abundant number, since it is smaller than the sum of its proper divisors (16418666230560).

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

5679587777760 is a wasteful number, since it uses less digits than its factorization.

5679587777760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262399 (or 3262385 counting only the distinct ones).

The product of its (nonzero) digits is 7623655200, while the sum is 81.

The spelling of 5679587777760 in words is "five trillion, six hundred seventy-nine billion, five hundred eighty-seven million, seven hundred seventy-seven thousand, seven hundred sixty".