11272716000 has 1536 divisors, whose sum is σ = 53539799040. Its totient is φ = 2239488000.

The previous prime is 11272715959. The next prime is 11272716029. The reversal of 11272716000 is 61727211.

11272716000 is a `hidden beast` number, since 11 + 27 + 27 + 1 + 600 + 0 = 666.

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

It is a congruent 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 255 ways as a sum of consecutive naturals, for example, 304667982 + ... + 304668018.

It is an arithmetic number, because the mean of its divisors is an integer number (34856640).

Almost surely, 2^11272716000 is an apocalyptic number.

11272716000 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 11272716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26769899520).

11272716000 is an abundant number, since it is smaller than the sum of its proper divisors (42267083040).

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

11272716000 is a wasteful number, since it uses less digits than its factorization.

11272716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 11272716000 in words is "eleven billion, two hundred seventy-two million, seven hundred sixteen thousand".