10001889000000 has 588 divisors, whose sum is σ = 35903760035364. Its totient is φ = 2662080000000.

The previous prime is 10001888999953. The next prime is 10001889000049. The reversal of 10001889000000 is 98810001.

It can be written as a sum of positive squares in 14 ways, for example, as 9862413640704 + 139475359296 = 3140448^2 + 373464^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8468999410 + ... + 8469000590.

Almost surely, 2^{10001889000000} is an apocalyptic number.

10001889000000 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 10001889000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17951880017682).

10001889000000 is an abundant number, since it is smaller than the sum of its proper divisors (25901871035364).

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

10001889000000 is an frugal number, since it uses more digits than its factorization.

10001889000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 10001889000000 in words is "ten trillion, one billion, eight hundred eighty-nine million", and thus it is an aban number.