66461131160 has 64 divisors (see below), whose sum is σ = 151492723200. Its totient is φ = 26237517696.

The previous prime is 66461131157. The next prime is 66461131183. The reversal of 66461131160 is 6113116466.

66461131160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 66461131160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3439847 + ... + 3459113.

It is an arithmetic number, because the mean of its divisors is an integer number (2367073800).

Almost surely, 2^66461131160 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 66461131160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75746361600).

66461131160 is an abundant number, since it is smaller than the sum of its proper divisors (85031592040).

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

66461131160 is a wasteful number, since it uses less digits than its factorization.

66461131160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20400 (or 20396 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 66461131160 in words is "sixty-six billion, four hundred sixty-one million, one hundred thirty-one thousand, one hundred sixty".