86253806861004 has 96 divisors (see below), whose sum is σ = 218765556172800. Its totient is φ = 26349732794880.

The previous prime is 86253806860999. The next prime is 86253806861011. The reversal of 86253806861004 is 40016860835268.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17052694 + ... + 21524450.

It is an arithmetic number, because the mean of its divisors is an integer number (2278807876800).

Almost surely, 2^{86253806861004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86253806861004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109382778086400).

86253806861004 is an abundant number, since it is smaller than the sum of its proper divisors (132511749311796).

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

86253806861004 is a wasteful number, since it uses less digits than its factorization.

86253806861004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474543 (or 4474541 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 86253806861004 in words is "eighty-six trillion, two hundred fifty-three billion, eight hundred six million, eight hundred sixty-one thousand, four".