86099111200 has 108 divisors (see below), whose sum is σ = 223281439542. Its totient is φ = 32413696000.

The previous prime is 86099111177. The next prime is 86099111209. The reversal of 86099111200 is 211199068.

It can be written as a sum of positive squares in 9 ways, for example, as 4172643216 + 81926467984 = 64596^2 + 286228^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86099111200.

It is not an unprimeable number, because it can be changed into a prime (86099111209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45000 + ... + 417400.

Almost surely, 2^86099111200 is an apocalyptic number.

86099111200 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 86099111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111640719771).

86099111200 is an abundant number, since it is smaller than the sum of its proper divisors (137182328342).

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

86099111200 is a wasteful number, since it uses less digits than its factorization.

86099111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372455 (or 372425 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 37.

The spelling of 86099111200 in words is "eighty-six billion, ninety-nine million, one hundred eleven thousand, two hundred".