59788881936 has 720 divisors, whose sum is σ = 212114214000. Its totient is φ = 15639257088.

The previous prime is 59788881931. The next prime is 59788881983. The reversal of 59788881936 is 63918888795.

59788881936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1100912400 + 58687969536 = 33180^2 + 242256^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (209018880) is a multiple of the sum of its prime divisors (280).

It is not an unprimeable number, because it can be changed into a prime (59788881931) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 401267590 + ... + 401267738.

It is an arithmetic number, because the mean of its divisors is an integer number (294603075).

Almost surely, 2^59788881936 is an apocalyptic number.

59788881936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59788881936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106057107000).

59788881936 is an abundant number, since it is smaller than the sum of its proper divisors (152325332064).

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

59788881936 is a wasteful number, since it uses less digits than its factorization.

59788881936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 72.

The spelling of 59788881936 in words is "fifty-nine billion, seven hundred eighty-eight million, eight hundred eighty-one thousand, nine hundred thirty-six".