5679190167552 has 832 divisors, whose sum is σ = 19518998353920. Its totient is φ = 1612696780800.

The previous prime is 5679190167527. The next prime is 5679190167601. The reversal of 5679190167552 is 2557610919765.

5679190167552 is a `hidden beast` number, since 5 + 6 + 7 + 9 + 19 + 0 + 1 + 67 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5679190167552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6431698503 + ... + 6431699385.

It is an arithmetic number, because the mean of its divisors is an integer number (23460334560).

Almost surely, 2^{5679190167552} 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 5679190167552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9759499176960).

5679190167552 is an abundant number, since it is smaller than the sum of its proper divisors (13839808186368).

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

5679190167552 is a wasteful number, since it uses less digits than its factorization.

5679190167552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 35721000, while the sum is 63.

The spelling of 5679190167552 in words is "five trillion, six hundred seventy-nine billion, one hundred ninety million, one hundred sixty-seven thousand, five hundred fifty-two".