86101444080 has 60 divisors (see below), whose sum is σ = 289157352120. Its totient is φ = 22960384896.

The previous prime is 86101444067. The next prime is 86101444087. The reversal of 86101444080 is 8044410168.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×86101444080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86101444087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59791950 + ... + 59793389.

It is an arithmetic number, because the mean of its divisors is an integer number (4819289202).

Almost surely, 2^86101444080 is an apocalyptic number.

86101444080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86101444080 is an abundant number, since it is smaller than the sum of its proper divisors (203055908040).

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

86101444080 is a wasteful number, since it uses less digits than its factorization.

86101444080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119585358 (or 119585349 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 86101444080 in words is "eighty-six billion, one hundred one million, four hundred forty-four thousand, eighty".