86279199120 has 240 divisors, whose sum is σ = 306883661760. Its totient is φ = 21662567424.

The previous prime is 86279199107. The next prime is 86279199133. The reversal of 86279199120 is 2199197268.

86279199120 is a `hidden beast` number, since 8 + 627 + 9 + 1 + 9 + 9 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86279199107) and next prime (86279199133).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2210494 + ... + 2249186.

It is an arithmetic number, because the mean of its divisors is an integer number (1278681924).

Almost surely, 2^86279199120 is an apocalyptic number.

86279199120 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 86279199120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153441830880).

86279199120 is an abundant number, since it is smaller than the sum of its proper divisors (220604462640).

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

86279199120 is a wasteful number, since it uses less digits than its factorization.

86279199120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38894 (or 38885 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 86279199120 in words is "eighty-six billion, two hundred seventy-nine million, one hundred ninety-nine thousand, one hundred twenty".