11273249856960 has 2688 divisors, whose sum is σ = 52487788953600. Its totient is φ = 2236442296320.

The previous prime is 11273249856949. The next prime is 11273249856989. The reversal of 11273249856960 is 6965894237211.

11273249856960 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 3 + 2 + 4 + 9 + 8 + 569 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25679384421 + ... + 25679384859.

It is an arithmetic number, because the mean of its divisors is an integer number (19526707200).

It is a 1-persistent number, because it is pandigital, but 2⋅11273249856960 = 22546499713920 is not.

Almost surely, 2^{11273249856960} is an apocalyptic number.

11273249856960 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 11273249856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26243894476800).

11273249856960 is an abundant number, since it is smaller than the sum of its proper divisors (41214539096640).

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

11273249856960 is a wasteful number, since it uses less digits than its factorization.

11273249856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 11273249856960 in words is "eleven trillion, two hundred seventy-three billion, two hundred forty-nine million, eight hundred fifty-six thousand, nine hundred sixty".