8101857192 has 256 divisors, whose sum is σ = 24741642240. Its totient is φ = 2177280000.

The previous prime is 8101857187. The next prime is 8101857259. The reversal of 8101857192 is 2917581018.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28832092 + ... + 28832372.

It is an arithmetic number, because the mean of its divisors is an integer number (96647040).

Almost surely, 2^8101857192 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 8101857192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12370821120).

8101857192 is an abundant number, since it is smaller than the sum of its proper divisors (16639785048).

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

8101857192 is a wasteful number, since it uses less digits than its factorization.

8101857192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 42.

The square root of 8101857192 is about 90010.3171419810. The cubic root of 8101857192 is about 2008.4523280875.

The spelling of 8101857192 in words is "eight billion, one hundred one million, eight hundred fifty-seven thousand, one hundred ninety-two".