11291020800 has 240 divisors, whose sum is σ = 37467006720. Its totient is φ = 2997411840.

The previous prime is 11291020771. The next prime is 11291020831. The reversal of 11291020800 is 802019211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10866681 + ... + 10867719.

It is an arithmetic number, because the mean of its divisors is an integer number (156112528).

Almost surely, 2^11291020800 is an apocalyptic number.

11291020800 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 11291020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18733503360).

11291020800 is an abundant number, since it is smaller than the sum of its proper divisors (26175985920).

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

11291020800 is a wasteful number, since it uses less digits than its factorization.

11291020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 11291020800 in words is "eleven billion, two hundred ninety-one million, twenty thousand, eight hundred".