10889691840 has 280 divisors, whose sum is σ = 39685216032. Its totient is φ = 2832814080.

The previous prime is 10889691833. The next prime is 10889691871. The reversal of 10889691840 is 4819698801.

It is a super-3 number, since 3×10889691840³ (a number of 31 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1057597 + ... + 1067843.

Almost surely, 2^10889691840 is an apocalyptic number.

10889691840 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 10889691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19842608016).

10889691840 is an abundant number, since it is smaller than the sum of its proper divisors (28795524192).

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

10889691840 is a wasteful number, since it uses less digits than its factorization.

10889691840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10317 (or 10298 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 10889691840 in words is "ten billion, eight hundred eighty-nine million, six hundred ninety-one thousand, eight hundred forty".