11280974760 has 256 divisors, whose sum is σ = 41303520000. Its totient is φ = 2716001280.

The previous prime is 11280974759. The next prime is 11280974779. The reversal of 11280974760 is 6747908211.

It is a happy number.

11280974760 is a `hidden beast` number, since 1 + 12 + 80 + 97 + 476 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1766934 + ... + 1773306.

It is an arithmetic number, because the mean of its divisors is an integer number (161341875).

Almost surely, 2^11280974760 is an apocalyptic number.

11280974760 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 11280974760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20651760000).

11280974760 is an abundant number, since it is smaller than the sum of its proper divisors (30022545240).

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

11280974760 is a wasteful number, since it uses less digits than its factorization.

11280974760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6553 (or 6543 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 11280974760 in words is "eleven billion, two hundred eighty million, nine hundred seventy-four thousand, seven hundred sixty".