59166761472 has 480 divisors, whose sum is σ = 219435955200. Its totient is φ = 15602098176.

The previous prime is 59166761411. The next prime is 59166761513. The reversal of 59166761472 is 27416766195.

59166761472 is a `hidden beast` number, since 5 + 9 + 16 + 6 + 7 + 614 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8802529 + ... + 8809247.

It is an arithmetic number, because the mean of its divisors is an integer number (457158240).

Almost surely, 2^59166761472 is an apocalyptic number.

59166761472 is a gapful number since it is divisible by the number (52) 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 59166761472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109717977600).

59166761472 is an abundant number, since it is smaller than the sum of its proper divisors (160269193728).

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

59166761472 is a wasteful number, since it uses less digits than its factorization.

59166761472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6773 (or 6744 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 59166761472 in words is "fifty-nine billion, one hundred sixty-six million, seven hundred sixty-one thousand, four hundred seventy-two".