11036844000 has 768 divisors, whose sum is σ = 49489090560. Its totient is φ = 2326579200.

The previous prime is 11036843981. The next prime is 11036844011. The reversal of 11036844000 is 44863011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9827439 + ... + 9828561.

It is an arithmetic number, because the mean of its divisors is an integer number (64438920).

Almost surely, 2^11036844000 is an apocalyptic number.

11036844000 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 11036844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24744545280).

11036844000 is an abundant number, since it is smaller than the sum of its proper divisors (38452246560).

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

11036844000 is a wasteful number, since it uses less digits than its factorization.

11036844000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11036844000 in words is "eleven billion, thirty-six million, eight hundred forty-four thousand".