86628365695872 has 1536 divisors, whose sum is σ = 357938975116800. Its totient is φ = 20263219200000.

The previous prime is 86628365695871. The next prime is 86628365695877. The reversal of 86628365695872 is 27859656382668.

86628365695872 is a `hidden beast` number, since 8 + 6 + 6 + 28 + 3 + 6 + 5 + 6 + 9 + 587 + 2 = 666.

It is a super-5 number, since 5×86628365695872⁵ (a number of 71 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86628365695791 and 86628365695800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86628365695871) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 992820247 + ... + 992907497.

It is an arithmetic number, because the mean of its divisors is an integer number (233033186925).

Almost surely, 2^{86628365695872} is an apocalyptic number.

86628365695872 is a gapful number since it is divisible by the number (82) 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 86628365695872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178969487558400).

86628365695872 is an abundant number, since it is smaller than the sum of its proper divisors (271310609420928).

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

86628365695872 is a wasteful number, since it uses less digits than its factorization.

86628365695872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87353 (or 87328 counting only the distinct ones).

The product of its digits is 12541132800, while the sum is 81.

The spelling of 86628365695872 in words is "eighty-six trillion, six hundred twenty-eight billion, three hundred sixty-five million, six hundred ninety-five thousand, eight hundred seventy-two".