86102700000 has 288 divisors, whose sum is σ = 290179114848. Its totient is φ = 22337280000.

The previous prime is 86102699987. The next prime is 86102700011. The reversal of 86102700000 is 720168.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11096122 + ... + 11103878.

It is an arithmetic number, because the mean of its divisors is an integer number (1007566371).

Almost surely, 2^86102700000 is an apocalyptic number.

86102700000 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 86102700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145089557424).

86102700000 is an abundant number, since it is smaller than the sum of its proper divisors (204076414848).

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

86102700000 is an equidigital number, since it uses as much as digits as its factorization.

86102700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7832 (or 7804 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 86102700000 in words is "eighty-six billion, one hundred two million, seven hundred thousand".