865852506072 has 320 divisors, whose sum is σ = 2544935500800. Its totient is φ = 274680564480.

The previous prime is 865852506067. The next prime is 865852506083. The reversal of 865852506072 is 270605258568.

865852506072 is a `hidden beast` number, since 8 + 6 + 5 + 8 + 5 + 25 + 0 + 607 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 448394947 + ... + 448396877.

It is an arithmetic number, because the mean of its divisors is an integer number (7952923440).

Almost surely, 2^865852506072 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 865852506072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272467750400).

865852506072 is an abundant number, since it is smaller than the sum of its proper divisors (1679082994728).

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

865852506072 is a wasteful number, since it uses less digits than its factorization.

865852506072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 865852506072 in words is "eight hundred sixty-five billion, eight hundred fifty-two million, five hundred six thousand, seventy-two".