10005686600832 has 768 divisors, whose sum is σ = 32953856382720. Its totient is φ = 3003183267840.

The previous prime is 10005686600831. The next prime is 10005686600849. The reversal of 10005686600832 is 23800668650001.

10005686600832 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 6 + 8 + 6 + 600 + 8 + 32 = 666.

It is a super-2 number, since 2×10005686600832² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005686600831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2784770428 + ... + 2784774020.

It is an arithmetic number, because the mean of its divisors is an integer number (42908667165).

Almost surely, 2^{10005686600832} is an apocalyptic number.

10005686600832 is a gapful number since it is divisible by the number (12) 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 10005686600832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16476928191360).

10005686600832 is an abundant number, since it is smaller than the sum of its proper divisors (22948169781888).

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

10005686600832 is an equidigital number, since it uses as much as digits as its factorization.

10005686600832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10005686600832 in words is "ten trillion, five billion, six hundred eighty-six million, six hundred thousand, eight hundred thirty-two".