10889514288 has 240 divisors, whose sum is σ = 33976575360. Its totient is φ = 3363959808.

The previous prime is 10889514257. The next prime is 10889514319. The reversal of 10889514288 is 88241598801.

It is an interprime number because it is at equal distance from previous prime (10889514257) and next prime (10889514319).

It is a super-2 number, since 2×10889514288² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4427203 + ... + 4429661.

It is an arithmetic number, because the mean of its divisors is an integer number (141569064).

Almost surely, 2^10889514288 is an apocalyptic number.

10889514288 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 10889514288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16988287680).

10889514288 is an abundant number, since it is smaller than the sum of its proper divisors (23087061072).

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

10889514288 is a wasteful number, since it uses less digits than its factorization.

10889514288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 10889514288 in words is "ten billion, eight hundred eighty-nine million, five hundred fourteen thousand, two hundred eighty-eight".