59988167985280 has 768 divisors, whose sum is σ = 160795035187200. Its totient is φ = 21372567552000.

The previous prime is 59988167985271. The next prime is 59988167985281. The reversal of 59988167985280 is 8258976188995.

It is a Harshad number since it is a multiple of its sum of digits (85).

It is not an unprimeable number, because it can be changed into a prime (59988167985281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40780534945 + ... + 40780536415.

It is an arithmetic number, because the mean of its divisors is an integer number (209368535400).

Almost surely, 2^{59988167985280} 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 59988167985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80397517593600).

59988167985280 is an abundant number, since it is smaller than the sum of its proper divisors (100806867201920).

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

59988167985280 is a wasteful number, since it uses less digits than its factorization.

59988167985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 6270566400, while the sum is 85.

The spelling of 59988167985280 in words is "fifty-nine trillion, nine hundred eighty-eight billion, one hundred sixty-seven million, nine hundred eighty-five thousand, two hundred eighty".