59989755048960 has 1408 divisors, whose sum is σ = 224746215321600. Its totient is φ = 13513339699200.

The previous prime is 59989755048917. The next prime is 59989755048973. The reversal of 59989755048960 is 6984055798995.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19675221516 + ... + 19675224564.

Almost surely, 2^{59989755048960} 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 59989755048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112373107660800).

59989755048960 is an abundant number, since it is smaller than the sum of its proper divisors (164756460272640).

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

59989755048960 is a wasteful number, since it uses less digits than its factorization.

59989755048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 8817984000, while the sum is 84.

The spelling of 59989755048960 in words is "fifty-nine trillion, nine hundred eighty-nine billion, seven hundred fifty-five million, forty-eight thousand, nine hundred sixty".