11290276200 has 576 divisors, whose sum is σ = 42640395840. Its totient is φ = 2461777920.

The previous prime is 11290276189. The next prime is 11290276211. The reversal of 11290276200 is 267209211.

11290276200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11290276189) and next prime (11290276211).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 143 ways as a sum of consecutive naturals, for example, 105516547 + ... + 105516653.

It is an arithmetic number, because the mean of its divisors is an integer number (74028465).

Almost surely, 2^11290276200 is an apocalyptic number.

11290276200 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 11290276200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21320197920).

11290276200 is an abundant number, since it is smaller than the sum of its proper divisors (31350119640).

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

11290276200 is a wasteful number, since it uses less digits than its factorization.

11290276200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 11290276200 in words is "eleven billion, two hundred ninety million, two hundred seventy-six thousand, two hundred".