11289738000 has 160 divisors (see below), whose sum is σ = 36462666240. Its totient is φ = 3005260800.

The previous prime is 11289737999. The next prime is 11289738013. The reversal of 11289738000 is 83798211.

It is a self number, because there is not a number n which added to its sum of digits gives 11289738000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4312692 + ... + 4315308.

It is an arithmetic number, because the mean of its divisors is an integer number (227891664).

Almost surely, 2^11289738000 is an apocalyptic number.

11289738000 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 11289738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18231333120).

11289738000 is an abundant number, since it is smaller than the sum of its proper divisors (25172928240).

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

11289738000 is a wasteful number, since it uses less digits than its factorization.

11289738000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 11289738000 in words is "eleven billion, two hundred eighty-nine million, seven hundred thirty-eight thousand".