10005788232 has 192 divisors, whose sum is σ = 30114302400. Its totient is φ = 2976030720.

The previous prime is 10005788231. The next prime is 10005788239. The reversal of 10005788232 is 23288750001.

10005788232 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 578 + 82 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10005788231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10678068 + ... + 10679004.

It is an arithmetic number, because the mean of its divisors is an integer number (156845325).

Almost surely, 2^10005788232 is an apocalyptic number.

10005788232 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 10005788232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15057151200).

10005788232 is an abundant number, since it is smaller than the sum of its proper divisors (20108514168).

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

10005788232 is a wasteful number, since it uses less digits than its factorization.

10005788232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10005788232 in words is "ten billion, five million, seven hundred eighty-eight thousand, two hundred thirty-two".