10895918440 has 128 divisors (see below), whose sum is σ = 27998576640. Its totient is φ = 3780000000.

The previous prime is 10895918431. The next prime is 10895918459. The reversal of 10895918440 is 4481959801.

It is a super-2 number, since 2×10895918440² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962815 + ... + 974065.

It is an arithmetic number, because the mean of its divisors is an integer number (218738880).

Almost surely, 2^10895918440 is an apocalyptic number.

10895918440 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 10895918440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999288320).

10895918440 is an abundant number, since it is smaller than the sum of its proper divisors (17102658200).

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

10895918440 is a wasteful number, since it uses less digits than its factorization.

10895918440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11375 (or 11371 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 49.

The spelling of 10895918440 in words is "ten billion, eight hundred ninety-five million, nine hundred eighteen thousand, four hundred forty".