86857255800 has 960 divisors, whose sum is σ = 359058923520. Its totient is φ = 19046845440.

The previous prime is 86857255799. The next prime is 86857255813. The reversal of 86857255800 is 855275868.

It is a happy number.

86857255800 is a `hidden beast` number, since 8 + 6 + 8 + 57 + 2 + 5 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 532866519 + ... + 532866681.

It is an arithmetic number, because the mean of its divisors is an integer number (374019712).

Almost surely, 2^86857255800 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 86857255800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179529461760).

86857255800 is an abundant number, since it is smaller than the sum of its proper divisors (272201667720).

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

86857255800 is a wasteful number, since it uses less digits than its factorization.

86857255800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 86857255800 in words is "eighty-six billion, eight hundred fifty-seven million, two hundred fifty-five thousand, eight hundred".