59982319452160 has 640 divisors, whose sum is σ = 177207497280000. Its totient is φ = 19021739065344.

The previous prime is 59982319452151. The next prime is 59982319452179. The reversal of 59982319452160 is 6125491328995.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 59982319452092 and 59982319452101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18405128611 + ... + 18405131869.

It is an arithmetic number, because the mean of its divisors is an integer number (276886714500).

Almost surely, 2^{59982319452160} 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 59982319452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88603748640000).

59982319452160 is an abundant number, since it is smaller than the sum of its proper divisors (117225177827840).

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

59982319452160 is an frugal number, since it uses more digits than its factorization.

59982319452160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 64.

The spelling of 59982319452160 in words is "fifty-nine trillion, nine hundred eighty-two billion, three hundred nineteen million, four hundred fifty-two thousand, one hundred sixty".