10885389984 has 288 divisors, whose sum is σ = 37130365440. Its totient is φ = 3093479424.

The previous prime is 10885389947. The next prime is 10885390007. The reversal of 10885389984 is 48998358801.

It is a happy number.

10885389984 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 538 + 9 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9440352 + ... + 9441504.

It is an arithmetic number, because the mean of its divisors is an integer number (128924880).

Almost surely, 2^10885389984 is an apocalyptic number.

10885389984 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 10885389984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18565182720).

10885389984 is an abundant number, since it is smaller than the sum of its proper divisors (26244975456).

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

10885389984 is a wasteful number, since it uses less digits than its factorization.

10885389984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 10885389984 in words is "ten billion, eight hundred eighty-five million, three hundred eighty-nine thousand, nine hundred eighty-four".