860001404935680 has 2880 divisors, whose sum is σ = 3728307623040000. Its totient is φ = 182622563794944.

The previous prime is 860001404935667. The next prime is 860001404935741. The reversal of 860001404935680 is 86539404100068.

860001404935680 is a `hidden beast` number, since 8 + 6 + 0 + 0 + 0 + 140 + 493 + 5 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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, 421776068101 + ... + 421776070139.

It is an arithmetic number, because the mean of its divisors is an integer number (1294551258000).

Almost surely, 2^{860001404935680} is an apocalyptic number.

860001404935680 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 860001404935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864153811520000).

860001404935680 is an abundant number, since it is smaller than the sum of its proper divisors (2868306218104320).

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

860001404935680 is a wasteful number, since it uses less digits than its factorization.

860001404935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 860001404935680 in words is "eight hundred sixty trillion, one billion, four hundred four million, nine hundred thirty-five thousand, six hundred eighty".