86756121999360 has 3840 divisors, whose sum is σ = 380611701550080. Its totient is φ = 18642024529920.

The previous prime is 86756121999319. The next prime is 86756121999373. The reversal of 86756121999360 is 6399912165768.

86756121999360 is a `hidden beast` number, since 8 + 6 + 7 + 56 + 121 + 9 + 99 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 296095979374 + ... + 296095979666.

It is an arithmetic number, because the mean of its divisors is an integer number (99117630612).

Almost surely, 2^{86756121999360} is an apocalyptic number.

86756121999360 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 86756121999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190305850775040).

86756121999360 is an abundant number, since it is smaller than the sum of its proper divisors (293855579550720).

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

86756121999360 is a wasteful number, since it uses less digits than its factorization.

86756121999360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 86756121999360 in words is "eighty-six trillion, seven hundred fifty-six billion, one hundred twenty-one million, nine hundred ninety-nine thousand, three hundred sixty".