11290978000 has 160 divisors (see below), whose sum is σ = 29215630080. Its totient is φ = 4207680000.

The previous prime is 11290977977. The next prime is 11290978021. The reversal of 11290978000 is 87909211.

11290978000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2315565 + ... + 2320435.

It is an arithmetic number, because the mean of its divisors is an integer number (182597688).

Almost surely, 2^11290978000 is an apocalyptic number.

11290978000 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 11290978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14607815040).

11290978000 is an abundant number, since it is smaller than the sum of its proper divisors (17924652080).

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

11290978000 is a wasteful number, since it uses less digits than its factorization.

11290978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 37.

The spelling of 11290978000 in words is "eleven billion, two hundred ninety million, nine hundred seventy-eight thousand".