86116829932480 has 56 divisors (see below), whose sum is σ = 206128218011472. Its totient is φ = 34268251471872.

The previous prime is 86116829932457. The next prime is 86116829932481. The reversal of 86116829932480 is 8423992861168.

It is a super-2 number, since 2×86116829932480² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86116829932481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 697127602 + ... + 697251121.

Almost surely, 2^{86116829932480} is an apocalyptic number.

86116829932480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86116829932480 is an abundant number, since it is smaller than the sum of its proper divisors (120011388078992).

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

86116829932480 is a wasteful number, since it uses less digits than its factorization.

86116829932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394378933 (or 1394378923 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 67.

The spelling of 86116829932480 in words is "eighty-six trillion, one hundred sixteen billion, eight hundred twenty-nine million, nine hundred thirty-two thousand, four hundred eighty".