10609191936 has 264 divisors, whose sum is σ = 35765184000. Its totient is φ = 2965856256.

The previous prime is 10609191881. The next prime is 10609191973. The reversal of 10609191936 is 63919190601.

10609191936 is a `hidden beast` number, since 1 + 0 + 609 + 1 + 9 + 1 + 9 + 36 = 666.

It is a super-2 number, since 2×10609191936² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10609191891 and 10609191900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3030315 + ... + 3033813.

Almost surely, 2^10609191936 is an apocalyptic number.

10609191936 is a gapful number since it is divisible by the number (16) 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 10609191936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882592000).

10609191936 is an abundant number, since it is smaller than the sum of its proper divisors (25155992064).

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

10609191936 is a wasteful number, since it uses less digits than its factorization.

10609191936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 10609191936 in words is "ten billion, six hundred nine million, one hundred ninety-one thousand, nine hundred thirty-six".