11134276200 has 240 divisors, whose sum is σ = 39920242560. Its totient is φ = 2873232000.

The previous prime is 11134276189. The next prime is 11134276217. The reversal of 11134276200 is 267243111.

11134276200 is a `hidden beast` number, since 1 + 1 + 1 + 34 + 2 + 7 + 620 + 0 = 666.

11134276200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 491115 + ... + 513285.

It is an arithmetic number, because the mean of its divisors is an integer number (166334344).

Almost surely, 2^11134276200 is an apocalyptic number.

11134276200 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 11134276200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19960121280).

11134276200 is an abundant number, since it is smaller than the sum of its proper divisors (28785966360).

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

11134276200 is a wasteful number, since it uses less digits than its factorization.

11134276200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22230 (or 22212 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11134276200 in words is "eleven billion, one hundred thirty-four million, two hundred seventy-six thousand, two hundred".