59728942416 has 320 divisors, whose sum is σ = 188627927040. Its totient is φ = 16036608000.

The previous prime is 59728942409. The next prime is 59728942447. The reversal of 59728942416 is 61424982795.

59728942416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38018911 + ... + 38020481.

It is an arithmetic number, because the mean of its divisors is an integer number (589462272).

Almost surely, 2^59728942416 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 59728942416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94313963520).

59728942416 is an abundant number, since it is smaller than the sum of its proper divisors (128898984624).

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

59728942416 is a wasteful number, since it uses less digits than its factorization.

59728942416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1820 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The spelling of 59728942416 in words is "fifty-nine billion, seven hundred twenty-eight million, nine hundred forty-two thousand, four hundred sixteen".