86051363600 has 120 divisors (see below), whose sum is σ = 214761704520. Its totient is φ = 33094656000.

The previous prime is 86051363579. The next prime is 86051363633. The reversal of 86051363600 is 636315068.

It can be written as a sum of positive squares in 12 ways, for example, as 22968008704 + 63083354896 = 151552^2 + 251164^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2780210 + ... + 2810990.

It is an arithmetic number, because the mean of its divisors is an integer number (1789680871).

Almost surely, 2^86051363600 is an apocalyptic number.

86051363600 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 86051363600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107380852260).

86051363600 is an abundant number, since it is smaller than the sum of its proper divisors (128710340920).

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

86051363600 is a wasteful number, since it uses less digits than its factorization.

86051363600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31069 (or 31058 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

Adding to 86051363600 its reverse (636315068), we get a palindrome (86687678668).

The spelling of 86051363600 in words is "eighty-six billion, fifty-one million, three hundred sixty-three thousand, six hundred".