10722884832 has 144 divisors (see below), whose sum is σ = 34711867008. Its totient is φ = 3108061440.

The previous prime is 10722884831. The next prime is 10722884833. The reversal of 10722884832 is 23848822701.

10722884832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10722884831) and next prime (10722884833).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10722884832² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10722884831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 718 + ... + 146445.

It is an arithmetic number, because the mean of its divisors is an integer number (241054632).

Almost surely, 2^10722884832 is an apocalyptic number.

10722884832 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 10722884832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17355933504).

10722884832 is an abundant number, since it is smaller than the sum of its proper divisors (23988982176).

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

10722884832 is a wasteful number, since it uses less digits than its factorization.

10722884832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147213 (or 147202 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 10722884832 in words is "ten billion, seven hundred twenty-two million, eight hundred eighty-four thousand, eight hundred thirty-two".