11273624300 has 72 divisors (see below), whose sum is σ = 25302130560. Its totient is φ = 4355481600.

The previous prime is 11273624291. The next prime is 11273624347. The reversal of 11273624300 is 342637211.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1723436 + ... + 1729964.

It is an arithmetic number, because the mean of its divisors is an integer number (351418480).

Almost surely, 2^11273624300 is an apocalyptic number.

11273624300 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 11273624300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12651065280).

11273624300 is an abundant number, since it is smaller than the sum of its proper divisors (14028506260).

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

11273624300 is a wasteful number, since it uses less digits than its factorization.

11273624300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7131 (or 7124 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 11273624300 in words is "eleven billion, two hundred seventy-three million, six hundred twenty-four thousand, three hundred".