11071420800 has 384 divisors, whose sum is σ = 40478659200. Its totient is φ = 2637004800.

The previous prime is 11071420771. The next prime is 11071420807. The reversal of 11071420800 is 802417011.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×11071420800³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11071420807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6229512 + ... + 6231288.

It is an arithmetic number, because the mean of its divisors is an integer number (105413175).

Almost surely, 2^11071420800 is an apocalyptic number.

11071420800 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 11071420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20239329600).

11071420800 is an abundant number, since it is smaller than the sum of its proper divisors (29407238400).

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

11071420800 is a wasteful number, since it uses less digits than its factorization.

11071420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

Adding to 11071420800 its reverse (802417011), we get a palindrome (11873837811).

The spelling of 11071420800 in words is "eleven billion, seventy-one million, four hundred twenty thousand, eight hundred".