59666181120 has 2112 divisors, whose sum is σ = 288410443776. Its totient is φ = 11466178560.

The previous prime is 59666181067. The next prime is 59666181143. The reversal of 59666181120 is 2118166695.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1924715505 + ... + 1924715535.

Almost surely, 2^59666181120 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 59666181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144205221888).

59666181120 is an abundant number, since it is smaller than the sum of its proper divisors (228744262656).

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

59666181120 is a wasteful number, since it uses less digits than its factorization.

59666181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 59666181120 in words is "fifty-nine billion, six hundred sixty-six million, one hundred eighty-one thousand, one hundred twenty".