861160981266432 has 1440 divisors, whose sum is σ = 3286062949809024. Its totient is φ = 218214118195200.

The previous prime is 861160981266389. The next prime is 861160981266457. The reversal of 861160981266432 is 234662189061168.

861160981266432 is a `hidden beast` number, since 8 + 6 + 1 + 1 + 60 + 9 + 81 + 2 + 66 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 861160981266432.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33517325778 + ... + 33517351470.

Almost surely, 2^{861160981266432} is an apocalyptic number.

861160981266432 is a gapful number since it is divisible by the number (82) 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 861160981266432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643031474904512).

861160981266432 is an abundant number, since it is smaller than the sum of its proper divisors (2424901968542592).

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

861160981266432 is an equidigital number, since it uses as much as digits as its factorization.

861160981266432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25798 (or 25757 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 861160981266432 in words is "eight hundred sixty-one trillion, one hundred sixty billion, nine hundred eighty-one million, two hundred sixty-six thousand, four hundred thirty-two".