10861521384 has 128 divisors (see below), whose sum is σ = 31973990400. Its totient is φ = 3009726720.

The previous prime is 10861521379. The next prime is 10861521413. The reversal of 10861521384 is 48312516801.

10861521384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2054857 + ... + 2060135.

It is an arithmetic number, because the mean of its divisors is an integer number (249796800).

Almost surely, 2^10861521384 is an apocalyptic number.

10861521384 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 10861521384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15986995200).

10861521384 is an abundant number, since it is smaller than the sum of its proper divisors (21112469016).

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

10861521384 is a wasteful number, since it uses less digits than its factorization.

10861521384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 10861521384 in words is "ten billion, eight hundred sixty-one million, five hundred twenty-one thousand, three hundred eighty-four".