86374686600 has 144 divisors (see below), whose sum is σ = 290179948500. Its totient is φ = 23024916480.

The previous prime is 86374686571. The next prime is 86374686637. The reversal of 86374686600 is 668647368.

It can be written as a sum of positive squares in 6 ways, for example, as 10750786596 + 75623900004 = 103686^2 + 274998^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6201244 + ... + 6215156.

Almost surely, 2^86374686600 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 86374686600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145089974250).

86374686600 is an abundant number, since it is smaller than the sum of its proper divisors (203805261900).

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

86374686600 is a wasteful number, since it uses less digits than its factorization.

86374686600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17384 (or 17372 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 86374686600 in words is "eighty-six billion, three hundred seventy-four million, six hundred eighty-six thousand, six hundred".