59840043768960 has 1536 divisors, whose sum is σ = 251880117350400. Its totient is φ = 11944230617088.

The previous prime is 59840043768949. The next prime is 59840043768977. The reversal of 59840043768960 is 6986734004895.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22470912589 + ... + 22470915251.

It is an arithmetic number, because the mean of its divisors is an integer number (163984451400).

Almost surely, 2^{59840043768960} 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 59840043768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125940058675200).

59840043768960 is an abundant number, since it is smaller than the sum of its proper divisors (192040073581440).

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

59840043768960 is a wasteful number, since it uses less digits than its factorization.

59840043768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3698 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 69.

The spelling of 59840043768960 in words is "fifty-nine trillion, eight hundred forty billion, forty-three million, seven hundred sixty-eight thousand, nine hundred sixty".