86253811287084 has 72 divisors (see below), whose sum is σ = 249286158340128. Its totient is φ = 24633217163520.

The previous prime is 86253811287019. The next prime is 86253811287089. The reversal of 86253811287084 is 48078211835268.

86253811287084 is a `hidden beast` number, since 8 + 6 + 2 + 538 + 1 + 1 + 28 + 70 + 8 + 4 = 666.

86253811287084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (86253811287089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73926387 + ... + 75084074.

It is an arithmetic number, because the mean of its divisors is an integer number (3462307754724).

Almost surely, 2^{86253811287084} is an apocalyptic number.

86253811287084 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

86253811287084 is an abundant number, since it is smaller than the sum of its proper divisors (163032347053044).

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

86253811287084 is a wasteful number, since it uses less digits than its factorization.

86253811287084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149012775 (or 149012770 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 86253811287084 in words is "eighty-six trillion, two hundred fifty-three billion, eight hundred eleven million, two hundred eighty-seven thousand, eighty-four".