11242367585280 has 3168 divisors, whose sum is σ = 48228949739520. Its totient is φ = 2478127841280.

The previous prime is 11242367585159. The next prime is 11242367585291. The reversal of 11242367585280 is 8258576324211.

It is a happy number.

11242367585280 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 2 + 3 + 67 + 58 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 261450408939 + ... + 261450408981.

It is an arithmetic number, because the mean of its divisors is an integer number (15223784640).

Almost surely, 2^{11242367585280} is an apocalyptic number.

11242367585280 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 11242367585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24114474869760).

11242367585280 is an abundant number, since it is smaller than the sum of its proper divisors (36986582154240).

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

11242367585280 is a wasteful number, since it uses less digits than its factorization.

11242367585280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 11242367585280 in words is "eleven trillion, two hundred forty-two billion, three hundred sixty-seven million, five hundred eighty-five thousand, two hundred eighty".