59081611680 has 768 divisors, whose sum is σ = 256596802560. Its totient is φ = 12363300864.

The previous prime is 59081611669. The next prime is 59081611681. The reversal of 59081611680 is 8611618095.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (59081611681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53856892 + ... + 53857988.

It is an arithmetic number, because the mean of its divisors is an integer number (334110420).

Almost surely, 2^59081611680 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 59081611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128298401280).

59081611680 is an abundant number, since it is smaller than the sum of its proper divisors (197515190880).

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

59081611680 is a wasteful number, since it uses less digits than its factorization.

59081611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

It can be divided in two parts, 59081 and 611680, that added together give a square (670761 = 819²).

The spelling of 59081611680 in words is "fifty-nine billion, eighty-one million, six hundred eleven thousand, six hundred eighty".