11127790800 has 960 divisors, whose sum is σ = 48809574400. Its totient is φ = 2351462400.

The previous prime is 11127790787. The next prime is 11127790813. The reversal of 11127790800 is 809772111.

It is an interprime number because it is at equal distance from previous prime (11127790787) and next prime (11127790813).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87620337 + ... + 87620463.

Almost surely, 2^11127790800 is an apocalyptic number.

11127790800 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 11127790800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24404787200).

11127790800 is an abundant number, since it is smaller than the sum of its proper divisors (37681783600).

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

11127790800 is a wasteful number, since it uses less digits than its factorization.

11127790800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The spelling of 11127790800 in words is "eleven billion, one hundred twenty-seven million, seven hundred ninety thousand, eight hundred".