86255723904 has 384 divisors, whose sum is σ = 289128359520. Its totient is φ = 22625648640.

The previous prime is 86255723891. The next prime is 86255723909. The reversal of 86255723904 is 40932755268.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86255723909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13111464 + ... + 13118040.

Almost surely, 2^86255723904 is an apocalyptic number.

86255723904 is a gapful number since it is divisible by the number (84) 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 86255723904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144564179760).

86255723904 is an abundant number, since it is smaller than the sum of its proper divisors (202872635616).

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

86255723904 is a wasteful number, since it uses less digits than its factorization.

86255723904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6666 (or 6647 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 86255723904 in words is "eighty-six billion, two hundred fifty-five million, seven hundred twenty-three thousand, nine hundred four".