59429742768 has 400 divisors, whose sum is σ = 193869924864. Its totient is φ = 17417617920.

The previous prime is 59429742733. The next prime is 59429742769. The reversal of 59429742768 is 86724792495.

59429742768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (59429742769) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 161933721 + ... + 161934087.

Almost surely, 2^59429742768 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 59429742768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96934962432).

59429742768 is an abundant number, since it is smaller than the sum of its proper divisors (134440182096).

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

59429742768 is a wasteful number, since it uses less digits than its factorization.

59429742768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 727 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 59429742768 in words is "fifty-nine billion, four hundred twenty-nine million, seven hundred forty-two thousand, seven hundred sixty-eight".