10895889312 has 540 divisors, whose sum is σ = 41030873730. Its totient is φ = 2826109440.

The previous prime is 10895889307. The next prime is 10895889353. The reversal of 10895889312 is 21398859801.

It can be written as a sum of positive squares in only one way, i.e., 10519374096 + 376515216 = 102564^2 + 19404^2 .

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 (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 15367614 + ... + 15368322.

Almost surely, 2^10895889312 is an apocalyptic number.

10895889312 is a gapful number since it is divisible by the number (12) 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 10895889312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20515436865).

10895889312 is an abundant number, since it is smaller than the sum of its proper divisors (30134984418).

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

10895889312 is a wasteful number, since it uses less digits than its factorization.

10895889312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 10895889312 in words is "ten billion, eight hundred ninety-five million, eight hundred eighty-nine thousand, three hundred twelve".