865304156160 has 960 divisors, whose sum is σ = 3319975058400. Its totient is φ = 214799745024.

The previous prime is 865304156131. The next prime is 865304156173. The reversal of 865304156160 is 61651403568.

865304156160 is a `hidden beast` number, since 8 + 6 + 530 + 4 + 1 + 56 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1536952039 + ... + 1536952601.

Almost surely, 2^865304156160 is an apocalyptic number.

865304156160 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 865304156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659987529200).

865304156160 is an abundant number, since it is smaller than the sum of its proper divisors (2454670902240).

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

865304156160 is a wasteful number, since it uses less digits than its factorization.

865304156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 865304156160 in words is "eight hundred sixty-five billion, three hundred four million, one hundred fifty-six thousand, one hundred sixty".