11031379200 has 216 divisors, whose sum is σ = 40451577600. Its totient is φ = 2941655040.

The previous prime is 11031379193. The next prime is 11031379241. The reversal of 11031379200 is 297313011.

It is a tau number, because it is divible by the number of its divisors (216).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140881 + ... + 204719.

Almost surely, 2^11031379200 is an apocalyptic number.

11031379200 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 11031379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20225788800).

11031379200 is an abundant number, since it is smaller than the sum of its proper divisors (29420198400).

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

11031379200 is an equidigital number, since it uses as much as digits as its factorization.

11031379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63874 (or 63849 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The spelling of 11031379200 in words is "eleven billion, thirty-one million, three hundred seventy-nine thousand, two hundred".