11259241505280 has 2560 divisors, whose sum is σ = 46430856806400. Its totient is φ = 2569273344000.

The previous prime is 11259241505231. The next prime is 11259241505299. The reversal of 11259241505280 is 8250514295211.

11259241505280 is a `hidden beast` number, since 1 + 1 + 2 + 59 + 24 + 1 + 50 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 255 ways as a sum of consecutive naturals, for example, 74564513205 + ... + 74564513355.

It is an arithmetic number, because the mean of its divisors is an integer number (18137053440).

Almost surely, 2^{11259241505280} is an apocalyptic number.

11259241505280 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 11259241505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23215428403200).

11259241505280 is an abundant number, since it is smaller than the sum of its proper divisors (35171615301120).

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

11259241505280 is a wasteful number, since it uses less digits than its factorization.

11259241505280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 11259241505280 in words is "eleven trillion, two hundred fifty-nine billion, two hundred forty-one million, five hundred five thousand, two hundred eighty".