860315754816 has 504 divisors, whose sum is σ = 2936861141760. Its totient is φ = 239977027584.

The previous prime is 860315754763. The next prime is 860315754833. The reversal of 860315754816 is 618457513068.

It is a happy number.

860315754816 is a `hidden beast` number, since 8 + 6 + 0 + 3 + 157 + 5 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×860315754816³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1025405725 + ... + 1025406563.

It is an arithmetic number, because the mean of its divisors is an integer number (5827105440).

Almost surely, 2^860315754816 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 860315754816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468430570880).

860315754816 is an abundant number, since it is smaller than the sum of its proper divisors (2076545386944).

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

860315754816 is a wasteful number, since it uses less digits than its factorization.

860315754816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 860315754816 in words is "eight hundred sixty billion, three hundred fifteen million, seven hundred fifty-four thousand, eight hundred sixteen".