59679408284160 has 1920 divisors, whose sum is σ = 258126544558080. Its totient is φ = 11633513988096.

The previous prime is 59679408284129. The next prime is 59679408284267. The reversal of 59679408284160 is 6148280497695.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (69).

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, 2795670607 + ... + 2795691953.

It is an arithmetic number, because the mean of its divisors is an integer number (134440908624).

Almost surely, 2^{59679408284160} 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 59679408284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129063272279040).

59679408284160 is an abundant number, since it is smaller than the sum of its proper divisors (198447136273920).

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

59679408284160 is a wasteful number, since it uses less digits than its factorization.

59679408284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21446 (or 21423 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 59679408284160 in words is "fifty-nine trillion, six hundred seventy-nine billion, four hundred eight million, two hundred eighty-four thousand, one hundred sixty".