10813890000 has 200 divisors, whose sum is σ = 35239594720. Its totient is φ = 2856384000.

The previous prime is 10813889993. The next prime is 10813890023. The reversal of 10813890000 is 9831801.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 10813890000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3268347 + ... + 3271653.

Almost surely, 2^10813890000 is an apocalyptic number.

10813890000 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 10813890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17619797360).

10813890000 is an abundant number, since it is smaller than the sum of its proper divisors (24425704720).

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

10813890000 is a wasteful number, since it uses less digits than its factorization.

10813890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 10813890000 in words is "ten billion, eight hundred thirteen million, eight hundred ninety thousand".