10770782010 has 64 divisors (see below), whose sum is σ = 27179919360. Its totient is φ = 2726335040.

The previous prime is 10770782003. The next prime is 10770782063. The reversal of 10770782010 is 1028707701.

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, 30811 + ... + 149969.

It is an arithmetic number, because the mean of its divisors is an integer number (424686240).

Almost surely, 2^10770782010 is an apocalyptic number.

10770782010 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 10770782010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13589959680).

10770782010 is an abundant number, since it is smaller than the sum of its proper divisors (16409137350).

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

10770782010 is a wasteful number, since it uses less digits than its factorization.

10770782010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119323.

The product of its (nonzero) digits is 5488, while the sum is 33.

The spelling of 10770782010 in words is "ten billion, seven hundred seventy million, seven hundred eighty-two thousand, ten".