11115873000 has 320 divisors, whose sum is σ = 39917077200. Its totient is φ = 2883340800.

The previous prime is 11115872981. The next prime is 11115873017. The reversal of 11115873000 is 37851111.

It can be written as a sum of positive squares in 8 ways, for example, as 878885316 + 10236987684 = 29646^2 + 101178^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2995146 + ... + 2998854.

Almost surely, 2^11115873000 is an apocalyptic number.

11115873000 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 11115873000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958538600).

11115873000 is an abundant number, since it is smaller than the sum of its proper divisors (28801204200).

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

11115873000 is a wasteful number, since it uses less digits than its factorization.

11115873000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 11115873000 in words is "eleven billion, one hundred fifteen million, eight hundred seventy-three thousand".