86120275360 has 192 divisors, whose sum is σ = 237813408000. Its totient is φ = 29459383296.

The previous prime is 86120275309. The next prime is 86120275391. The reversal of 86120275360 is 6357202168.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27932379 + ... + 27935461.

It is an arithmetic number, because the mean of its divisors is an integer number (1238611500).

Almost surely, 2^86120275360 is an apocalyptic number.

86120275360 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 86120275360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118906704000).

86120275360 is an abundant number, since it is smaller than the sum of its proper divisors (151693132640).

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

86120275360 is a wasteful number, since it uses less digits than its factorization.

86120275360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 86120275360 in words is "eighty-six billion, one hundred twenty million, two hundred seventy-five thousand, three hundred sixty".