86074369875 has 256 divisors, whose sum is σ = 178759526400. Its totient is φ = 40590720000.

The previous prime is 86074369817. The next prime is 86074369879. The reversal of 86074369875 is 57896347068.

It is not a de Polignac number, because 86074369875 - 2⁶ = 86074369811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86074369879) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 106133220 + ... + 106134030.

It is an arithmetic number, because the mean of its divisors is an integer number (698279400).

Almost surely, 2^86074369875 is an apocalyptic number.

86074369875 is an abundant number, since it is smaller than the sum of its proper divisors (92685156525).

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

86074369875 is a wasteful number, since it uses less digits than its factorization.

86074369875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 86074369875 in words is "eighty-six billion, seventy-four million, three hundred sixty-nine thousand, eight hundred seventy-five".