11072127800 has 24 divisors (see below), whose sum is σ = 25742697600. Its totient is φ = 4428851040.

The previous prime is 11072127793. The next prime is 11072127809. The reversal of 11072127800 is 872127011.

11072127800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11072127800³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11072127809) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 27680120 + ... + 27680519.

It is an arithmetic number, because the mean of its divisors is an integer number (1072612400).

Almost surely, 2^11072127800 is an apocalyptic number.

11072127800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11072127800 is an abundant number, since it is smaller than the sum of its proper divisors (14670569800).

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

11072127800 is a wasteful number, since it uses less digits than its factorization.

11072127800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55360655 (or 55360646 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 29.

The spelling of 11072127800 in words is "eleven billion, seventy-two million, one hundred twenty-seven thousand, eight hundred".