59505648640 has 88 divisors (see below), whose sum is σ = 143463585600. Its totient is φ = 23682244608.

The previous prime is 59505648623. The next prime is 59505648667. The reversal of 59505648640 is 4684650595.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 989679 + ... + 1048081.

Almost surely, 2^59505648640 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 59505648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71731792800).

59505648640 is an abundant number, since it is smaller than the sum of its proper divisors (83957936960).

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

59505648640 is a wasteful number, since it uses less digits than its factorization.

59505648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58627 (or 58609 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 52.

The spelling of 59505648640 in words is "fifty-nine billion, five hundred five million, six hundred forty-eight thousand, six hundred forty".