11272762320300 has 864 divisors, whose sum is σ = 42059123293824. Its totient is φ = 2499268608000.

The previous prime is 11272762320269. The next prime is 11272762320329. The reversal of 11272762320300 is 302326727211.

11272762320300 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 2 + 7 + 623 + 20 + 3 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 448904745 + ... + 448929855.

Almost surely, 2^{11272762320300} is an apocalyptic number.

11272762320300 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 11272762320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21029561646912).

11272762320300 is an abundant number, since it is smaller than the sum of its proper divisors (30786360973524).

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

11272762320300 is a wasteful number, since it uses less digits than its factorization.

11272762320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25259 (or 25249 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 11272762320300 in words is "eleven trillion, two hundred seventy-two billion, seven hundred sixty-two million, three hundred twenty thousand, three hundred".