59172882987120 has 2400 divisors, whose sum is σ = 239850284313600. Its totient is φ = 12022995898368.

The previous prime is 59172882987019. The next prime is 59172882987121. The reversal of 59172882987120 is 2178928827195.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59172882987121) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 749023835241 + ... + 749023835319.

It is an arithmetic number, because the mean of its divisors is an integer number (99937618464).

Almost surely, 2^{59172882987120} 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 59172882987120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119925142156800).

59172882987120 is an abundant number, since it is smaller than the sum of its proper divisors (180677401326480).

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

59172882987120 is a wasteful number, since it uses less digits than its factorization.

59172882987120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 69.

The spelling of 59172882987120 in words is "fifty-nine trillion, one hundred seventy-two billion, eight hundred eighty-two million, nine hundred eighty-seven thousand, one hundred twenty".