11273982720 has 864 divisors, whose sum is σ = 49324826880. Its totient is φ = 2157281280.

The previous prime is 11273982689. The next prime is 11273982737. The reversal of 11273982720 is 2728937211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26906671 + ... + 26907089.

It is an arithmetic number, because the mean of its divisors is an integer number (57088920).

Almost surely, 2^11273982720 is an apocalyptic number.

11273982720 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 11273982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24662413440).

11273982720 is an abundant number, since it is smaller than the sum of its proper divisors (38050844160).

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

11273982720 is a wasteful number, since it uses less digits than its factorization.

11273982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 11273982720 in words is "eleven billion, two hundred seventy-three million, nine hundred eighty-two thousand, seven hundred twenty".