10082781184 has 96 divisors (see below), whose sum is σ = 23120173440. Its totient is φ = 4306305024.

The previous prime is 10082781151. The next prime is 10082781227. The reversal of 10082781184 is 48118728001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4830189 + ... + 4832275.

It is an arithmetic number, because the mean of its divisors is an integer number (240835140).

Almost surely, 2^10082781184 is an apocalyptic number.

10082781184 is a gapful number since it is divisible by the number (14) 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 10082781184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11560086720).

10082781184 is an abundant number, since it is smaller than the sum of its proper divisors (13037392256).

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

10082781184 is an equidigital number, since it uses as much as digits as its factorization.

10082781184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 40.

The spelling of 10082781184 in words is "ten billion, eighty-two million, seven hundred eighty-one thousand, one hundred eighty-four".