10987122528 has 144 divisors (see below), whose sum is σ = 32574172176. Its totient is φ = 3642900480.

The previous prime is 10987122527. The next prime is 10987122539. The reversal of 10987122528 is 82522178901.

10987122528 is a `hidden beast` number, since 10 + 98 + 7 + 1 + 22 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10987122528² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10987122521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1497108 + ... + 1504428.

It is an arithmetic number, because the mean of its divisors is an integer number (226209529).

Almost surely, 2^10987122528 is an apocalyptic number.

10987122528 is a gapful number since it is divisible by the number (18) 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 10987122528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16287086088).

10987122528 is an abundant number, since it is smaller than the sum of its proper divisors (21587049648).

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

10987122528 is an equidigital number, since it uses as much as digits as its factorization.

10987122528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7539 (or 7519 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10987122528 in words is "ten billion, nine hundred eighty-seven million, one hundred twenty-two thousand, five hundred twenty-eight".