59661774480 has 640 divisors, whose sum is σ = 236360871936. Its totient is φ = 12091392000.

The previous prime is 59661774451. The next prime is 59661774509. The reversal of 59661774480 is 8447716695.

59661774480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (59661774451) and next prime (59661774509).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 59661774480.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148782280 + ... + 148782680.

Almost surely, 2^59661774480 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 59661774480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118180435968).

59661774480 is an abundant number, since it is smaller than the sum of its proper divisors (176699097456).

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

59661774480 is a wasteful number, since it uses less digits than its factorization.

59661774480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 59661774480 in words is "fifty-nine billion, six hundred sixty-one million, seven hundred seventy-four thousand, four hundred eighty".