11280191489280 has 1728 divisors, whose sum is σ = 49903797565440. Its totient is φ = 2292754415616.

The previous prime is 11280191489243. The next prime is 11280191489341. The reversal of 11280191489280 is 8298419108211.

11280191489280 is a `hidden beast` number, since 1 + 1 + 2 + 80 + 1 + 9 + 1 + 489 + 2 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1868506422 + ... + 1868512458.

It is an arithmetic number, because the mean of its divisors is an integer number (28879512480).

Almost surely, 2^{11280191489280} is an apocalyptic number.

11280191489280 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 11280191489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24951898782720).

11280191489280 is an abundant number, since it is smaller than the sum of its proper divisors (38623606076160).

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

11280191489280 is a wasteful number, since it uses less digits than its factorization.

11280191489280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6164 (or 6147 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 54.

The spelling of 11280191489280 in words is "eleven trillion, two hundred eighty billion, one hundred ninety-one million, four hundred eighty-nine thousand, two hundred eighty".