10882950210 has 320 divisors, whose sum is σ = 33791966208. Its totient is φ = 2490912000.

The previous prime is 10882950209. The next prime is 10882950293. The reversal of 10882950210 is 1205928801.

10882950210 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 265437790 + ... + 265437830.

Almost surely, 2^10882950210 is an apocalyptic number.

10882950210 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 10882950210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895983104).

10882950210 is an abundant number, since it is smaller than the sum of its proper divisors (22909015998).

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

10882950210 is an equidigital number, since it uses as much as digits as its factorization.

10882950210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 10882950210 in words is "ten billion, eight hundred eighty-two million, nine hundred fifty thousand, two hundred ten".