10086122304 has 336 divisors, whose sum is σ = 31952793600. Its totient is φ = 3028008960.

The previous prime is 10086122261. The next prime is 10086122323. The reversal of 10086122304 is 40322168001.

10086122304 is a `hidden beast` number, since 10 + 0 + 8 + 612 + 2 + 30 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45229137 + ... + 45229359.

It is an arithmetic number, because the mean of its divisors is an integer number (95097600).

Almost surely, 2^10086122304 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 10086122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15976396800).

10086122304 is an abundant number, since it is smaller than the sum of its proper divisors (21866671296).

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

10086122304 is a wasteful number, since it uses less digits than its factorization.

10086122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10086122304 in words is "ten billion, eighty-six million, one hundred twenty-two thousand, three hundred four".