481077056085660 has 864 divisors, whose sum is σ = 1672110698049792. Its totient is φ = 111493027860480.

The previous prime is 481077056085599. The next prime is 481077056085683. The reversal of 481077056085660 is 66580650770184.

481077056085660 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 7 + 7 + 0 + 5 + 60 + 8 + 566 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23322676267 + ... + 23322696893.

It is an arithmetic number, because the mean of its divisors is an integer number (1935313307928).

Almost surely, 2^{481077056085660} 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 481077056085660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836055349024896).

481077056085660 is an abundant number, since it is smaller than the sum of its proper divisors (1191033641964132).

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

481077056085660 is a wasteful number, since it uses less digits than its factorization.

481077056085660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21231 (or 21207 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 481077056085660 in words is "four hundred eighty-one trillion, seventy-seven billion, fifty-six million, eighty-five thousand, six hundred sixty".