11291809325280 has 384 divisors, whose sum is σ = 39847453341696. Its totient is φ = 2664352972800.

The previous prime is 11291809325267. The next prime is 11291809325299. The reversal of 11291809325280 is 8252390819211.

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, 44791264 + ... + 45042656.

It is an arithmetic number, because the mean of its divisors is an integer number (103769409744).

Almost surely, 2^{11291809325280} is an apocalyptic number.

11291809325280 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 11291809325280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19923726670848).

11291809325280 is an abundant number, since it is smaller than the sum of its proper divisors (28555644016416).

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

11291809325280 is a wasteful number, since it uses less digits than its factorization.

11291809325280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251650 (or 251642 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 11291809325280 in words is "eleven trillion, two hundred ninety-one billion, eight hundred nine million, three hundred twenty-five thousand, two hundred eighty".