59945016768 has 224 divisors, whose sum is σ = 195997616640. Its totient is φ = 15745536000.

The previous prime is 59945016767. The next prime is 59945016823. The reversal of 59945016768 is 86761054995.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59945016767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4378638 + ... + 4392306.

It is an arithmetic number, because the mean of its divisors is an integer number (874989360).

Almost surely, 2^59945016768 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 59945016768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97998808320).

59945016768 is an abundant number, since it is smaller than the sum of its proper divisors (136052599872).

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

59945016768 is a wasteful number, since it uses less digits than its factorization.

59945016768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13955 (or 13945 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 59945016768 in words is "fifty-nine billion, nine hundred forty-five million, sixteen thousand, seven hundred sixty-eight".