86122697230080 has 1080 divisors, whose sum is σ = 374061426453792. Its totient is φ = 18829284655104.

The previous prime is 86122697230043. The next prime is 86122697230127. The reversal of 86122697230080 is 8003279622168.

86122697230080 is a `hidden beast` number, since 8 + 6 + 1 + 2 + 269 + 72 + 300 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 86122697229999 and 86122697230026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 116478834 + ... + 117215886.

Almost surely, 2^{86122697230080} is an apocalyptic number.

86122697230080 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 86122697230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187030713226896).

86122697230080 is an abundant number, since it is smaller than the sum of its proper divisors (287938729223712).

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

86122697230080 is a wasteful number, since it uses less digits than its factorization.

86122697230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737123 (or 737093 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 86122697230080 in words is "eighty-six trillion, one hundred twenty-two billion, six hundred ninety-seven million, two hundred thirty thousand, eighty".