10006373160 has 192 divisors, whose sum is σ = 37268150400. Its totient is φ = 2280918528.

The previous prime is 10006373159. The next prime is 10006373191. The reversal of 10006373160 is 6137360001.

10006373160 is a `hidden beast` number, since 10 + 0 + 0 + 637 + 3 + 16 + 0 = 666.

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, 949842 + ... + 960318.

It is an arithmetic number, because the mean of its divisors is an integer number (194104950).

Almost surely, 2^10006373160 is an apocalyptic number.

10006373160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10006373160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18634075200).

10006373160 is an abundant number, since it is smaller than the sum of its proper divisors (27261777240).

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

10006373160 is a wasteful number, since it uses less digits than its factorization.

10006373160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10880 (or 10873 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 10006373160 in words is "ten billion, six million, three hundred seventy-three thousand, one hundred sixty".