86250788843625 has 96 divisors (see below), whose sum is σ = 184274278406400. Its totient is φ = 39428931945600.

The previous prime is 86250788843599. The next prime is 86250788843773. The reversal of 86250788843625 is 52634888705268.

86250788843625 is a `hidden beast` number, since 8 + 6 + 2 + 507 + 8 + 8 + 84 + 36 + 2 + 5 = 666.

It is not a de Polignac number, because 86250788843625 - 2⁷ = 86250788843497 is a prime.

It is a super-2 number, since 2×86250788843625² (a number of 29 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 202611100 + ... + 203036349.

It is an arithmetic number, because the mean of its divisors is an integer number (1919523733400).

Almost surely, 2^{86250788843625} is an apocalyptic number.

It is an amenable number.

86250788843625 is an abundant number, since it is smaller than the sum of its proper divisors (98023489562775).

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

86250788843625 is an equidigital number, since it uses as much as digits as its factorization.

86250788843625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405647486 (or 405647464 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 86250788843625 in words is "eighty-six trillion, two hundred fifty billion, seven hundred eighty-eight million, eight hundred forty-three thousand, six hundred twenty-five".