865105274650752 has 256 divisors, whose sum is σ = 2554525757952000. Its totient is φ = 288225750574080.

The previous prime is 865105274650699. The next prime is 865105274650763. The reversal of 865105274650752 is 257056472501568.

865105274650752 is a `hidden beast` number, since 8 + 6 + 5 + 1 + 0 + 5 + 2 + 74 + 6 + 507 + 52 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 865105274650752.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99220694649 + ... + 99220703367.

It is an arithmetic number, because the mean of its divisors is an integer number (9978616242000).

Almost surely, 2^{865105274650752} 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 865105274650752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277262878976000).

865105274650752 is an abundant number, since it is smaller than the sum of its proper divisors (1689420483301248).

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

865105274650752 is a wasteful number, since it uses less digits than its factorization.

865105274650752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19656 (or 19638 counting only the distinct ones).

The product of its (nonzero) digits is 141120000, while the sum is 63.

The spelling of 865105274650752 in words is "eight hundred sixty-five trillion, one hundred five billion, two hundred seventy-four million, six hundred fifty thousand, seven hundred fifty-two".