11280313390080 has 704 divisors, whose sum is σ = 42819112723968. Its totient is φ = 2480941301760.

The previous prime is 11280313390067. The next prime is 11280313390097. The reversal of 11280313390080 is 8009331308211.

It is a congruent number.

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, 321789834 + ... + 321824886.

Almost surely, 2^{11280313390080} is an apocalyptic number.

11280313390080 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 11280313390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21409556361984).

11280313390080 is an abundant number, since it is smaller than the sum of its proper divisors (31538799333888).

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

11280313390080 is a wasteful number, since it uses less digits than its factorization.

11280313390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35202 (or 35184 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

Adding to 11280313390080 its reverse (8009331308211), we get a palindrome (19289644698291).

The spelling of 11280313390080 in words is "eleven trillion, two hundred eighty billion, three hundred thirteen million, three hundred ninety thousand, eighty".