10884971500 has 96 divisors (see below), whose sum is σ = 25775568000. Its totient is φ = 3991737600.

The previous prime is 10884971491. The next prime is 10884971501. The reversal of 10884971500 is 517948801.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10884971501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962881 + ... + 974119.

It is an arithmetic number, because the mean of its divisors is an integer number (268495500).

Almost surely, 2^10884971500 is an apocalyptic number.

10884971500 is a gapful number since it is divisible by the number (10) 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 10884971500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12887784000).

10884971500 is an abundant number, since it is smaller than the sum of its proper divisors (14890596500).

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

10884971500 is a wasteful number, since it uses less digits than its factorization.

10884971500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11420 (or 11408 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 43.

The spelling of 10884971500 in words is "ten billion, eight hundred eighty-four million, nine hundred seventy-one thousand, five hundred".