10882529280 has 384 divisors, whose sum is σ = 44218137600. Its totient is φ = 2486992896.

The previous prime is 10882529279. The next prime is 10882529293. The reversal of 10882529280 is 8292528801.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1932549 + ... + 1938171.

It is an arithmetic number, because the mean of its divisors is an integer number (115151400).

Almost surely, 2^10882529280 is an apocalyptic number.

10882529280 is a gapful number since it is divisible by the number (10) 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 10882529280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22109068800).

10882529280 is an abundant number, since it is smaller than the sum of its proper divisors (33335608320).

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

10882529280 is an equidigital number, since it uses as much as digits as its factorization.

10882529280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666 (or 5640 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 10882529280 in words is "ten billion, eight hundred eighty-two million, five hundred twenty-nine thousand, two hundred eighty".