11274530080 has 384 divisors, whose sum is σ = 32450181120. Its totient is φ = 3653591040.

The previous prime is 11274530051. The next prime is 11274530161. The reversal of 11274530080 is 8003547211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82295772 + ... + 82295908.

It is an arithmetic number, because the mean of its divisors is an integer number (84505680).

Almost surely, 2^11274530080 is an apocalyptic number.

11274530080 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 11274530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16225090560).

11274530080 is an abundant number, since it is smaller than the sum of its proper divisors (21175651040).

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

11274530080 is a wasteful number, since it uses less digits than its factorization.

11274530080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 11274530080 in words is "eleven billion, two hundred seventy-four million, five hundred thirty thousand, eighty".