12832907010 has 128 divisors (see below), whose sum is σ = 38569457664. Its totient is φ = 2654722560.

The previous prime is 12832906993. The next prime is 12832907071. The reversal of 12832907010 is 1070923821.

It is a super-3 number, since 3×12832907010³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 512134 + ... + 536606.

It is an arithmetic number, because the mean of its divisors is an integer number (301323888).

Almost surely, 2^12832907010 is an apocalyptic number.

12832907010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12832907010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284728832).

12832907010 is an abundant number, since it is smaller than the sum of its proper divisors (25736550654).

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

12832907010 is a wasteful number, since it uses less digits than its factorization.

12832907010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24728.

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 12832907010 in words is "twelve billion, eight hundred thirty-two million, nine hundred seven thousand, ten".