86022881280 has 680 divisors, whose sum is σ = 353224810752. Its totient is φ = 19619905536.

The previous prime is 86022881261. The next prime is 86022881293. The reversal of 86022881280 is 8218822068.

86022881280 is a `hidden beast` number, since 8 + 602 + 28 + 8 + 12 + 8 + 0 = 666.

It is a super-2 number, since 2×86022881280² (a number of 23 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 185794329 + ... + 185794791.

Almost surely, 2^86022881280 is an apocalyptic number.

86022881280 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 86022881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176612405376).

86022881280 is an abundant number, since it is smaller than the sum of its proper divisors (267201929472).

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

86022881280 is an frugal number, since it uses more digits than its factorization.

86022881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

It can be divided in two parts, 8602 and 2881280, that added together give a palindrome (2889882).

The spelling of 86022881280 in words is "eighty-six billion, twenty-two million, eight hundred eighty-one thousand, two hundred eighty".