860419088640 has 432 divisors, whose sum is σ = 3050120376576. Its totient is φ = 223838208000.

The previous prime is 860419088563. The next prime is 860419088653. The reversal of 860419088640 is 46880914068.

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, 179214240 + ... + 179219040.

Almost surely, 2^860419088640 is an apocalyptic number.

860419088640 is a gapful number since it is divisible by the number (80) 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 860419088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525060188288).

860419088640 is an abundant number, since it is smaller than the sum of its proper divisors (2189701287936).

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

860419088640 is a wasteful number, since it uses less digits than its factorization.

860419088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 860419088640 in words is "eight hundred sixty billion, four hundred nineteen million, eighty-eight thousand, six hundred forty".