86120945440 has 96 divisors (see below), whose sum is σ = 209088416880. Its totient is φ = 33496694784.

The previous prime is 86120945429. The next prime is 86120945483. The reversal of 86120945440 is 4454902168.

It can be written as a sum of positive squares in 8 ways, for example, as 27520155664 + 58600789776 = 165892^2 + 242076^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12600264 + ... + 12607096.

Almost surely, 2^86120945440 is an apocalyptic number.

86120945440 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 86120945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104544208440).

86120945440 is an abundant number, since it is smaller than the sum of its proper divisors (122967471440).

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

86120945440 is a wasteful number, since it uses less digits than its factorization.

86120945440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9014 (or 9006 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 86120945440 in words is "eighty-six billion, one hundred twenty million, nine hundred forty-five thousand, four hundred forty".