860739517440 has 2112 divisors, whose sum is σ = 3714755945472. Its totient is φ = 181665792000.

The previous prime is 860739517439. The next prime is 860739517453. The reversal of 860739517440 is 44715937068.

860739517440 is a `hidden beast` number, since 86 + 0 + 7 + 3 + 9 + 517 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8522173390 + ... + 8522173490.

It is an arithmetic number, because the mean of its divisors is an integer number (1758880656).

Almost surely, 2^860739517440 is an apocalyptic number.

860739517440 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 860739517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857377972736).

860739517440 is an abundant number, since it is smaller than the sum of its proper divisors (2854016428032).

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

860739517440 is a wasteful number, since it uses less digits than its factorization.

860739517440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 860739517440 in words is "eight hundred sixty billion, seven hundred thirty-nine million, five hundred seventeen thousand, four hundred forty".