865480353712128 has 5184 divisors, whose sum is σ = 3521663414942400. Its totient is φ = 209074618368000.

The previous prime is 865480353712057. The next prime is 865480353712229. The reversal of 865480353712128 is 821217353084568.

865480353712128 is a `hidden beast` number, since 8 + 6 + 5 + 4 + 80 + 3 + 537 + 1 + 2 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 12917617219551 + ... + 12917617219617.

It is an arithmetic number, because the mean of its divisors is an integer number (679333220475).

Almost surely, 2^{865480353712128} is an apocalyptic number.

865480353712128 is a gapful number since it is divisible by the number (88) 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 865480353712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760831707471200).

865480353712128 is an abundant number, since it is smaller than the sum of its proper divisors (2656183061230272).

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

865480353712128 is a wasteful number, since it uses less digits than its factorization.

865480353712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 865480353712128 in words is "eight hundred sixty-five trillion, four hundred eighty billion, three hundred fifty-three million, seven hundred twelve thousand, one hundred twenty-eight".