11016829800 has 288 divisors, whose sum is σ = 38785106880. Its totient is φ = 2797132800.

The previous prime is 11016829763. The next prime is 11016829849. The reversal of 11016829800 is 892861011.

11016829800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 11632927 + ... + 11633873.

It is an arithmetic number, because the mean of its divisors is an integer number (134670510).

Almost surely, 2^11016829800 is an apocalyptic number.

11016829800 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 11016829800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19392553440).

11016829800 is an abundant number, since it is smaller than the sum of its proper divisors (27768277080).

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

11016829800 is a wasteful number, since it uses less digits than its factorization.

11016829800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 11016829800 in words is "eleven billion, sixteen million, eight hundred twenty-nine thousand, eight hundred".