10882789632 has 864 divisors, whose sum is σ = 40980401280. Its totient is φ = 2724986880.

The previous prime is 10882789627. The next prime is 10882789637. The reversal of 10882789632 is 23698728801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10882789627) and next prime (10882789637).

It is a super-2 number, since 2×10882789632² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10882789637) 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, 162429663 + ... + 162429729.

It is an arithmetic number, because the mean of its divisors is an integer number (47431020).

Almost surely, 2^10882789632 is an apocalyptic number.

10882789632 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 10882789632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490200640).

10882789632 is an abundant number, since it is smaller than the sum of its proper divisors (30097611648).

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

10882789632 is a wasteful number, since it uses less digits than its factorization.

10882789632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10882789632 in words is "ten billion, eight hundred eighty-two million, seven hundred eighty-nine thousand, six hundred thirty-two".