11159438000 has 80 divisors (see below), whose sum is σ = 27006545280. Its totient is φ = 4459968000.

The previous prime is 11159437999. The next prime is 11159438023. The reversal of 11159438000 is 83495111.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4176665 + ... + 4179335.

It is an arithmetic number, because the mean of its divisors is an integer number (337581816).

Almost surely, 2^11159438000 is an apocalyptic number.

11159438000 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 11159438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13503272640).

11159438000 is an abundant number, since it is smaller than the sum of its proper divisors (15847107280).

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

11159438000 is a wasteful number, since it uses less digits than its factorization.

11159438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The spelling of 11159438000 in words is "eleven billion, one hundred fifty-nine million, four hundred thirty-eight thousand".