86125878300 has 144 divisors (see below), whose sum is σ = 310679615232. Its totient is φ = 17896281600.

The previous prime is 86125878253. The next prime is 86125878301. The reversal of 86125878300 is 387852168.

It is a self number, because there is not a number n which added to its sum of digits gives 86125878300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86125878301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1841097 + ... + 1887296.

It is an arithmetic number, because the mean of its divisors is an integer number (2157497328).

Almost surely, 2^86125878300 is an apocalyptic number.

It is an amenable number.

86125878300 is an abundant number, since it is smaller than the sum of its proper divisors (224553736932).

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

86125878300 is a wasteful number, since it uses less digits than its factorization.

86125878300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728428 (or 3728421 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 86125878300 in words is "eighty-six billion, one hundred twenty-five million, eight hundred seventy-eight thousand, three hundred".