11255107217760 has 480 divisors, whose sum is σ = 46960975575360. Its totient is φ = 2483885150208.

The previous prime is 11255107217707. The next prime is 11255107217773. The reversal of 11255107217760 is 6771270155211.

11255107217760 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 510 + 7 + 2 + 1 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 491842 + ... + 4769918.

It is an arithmetic number, because the mean of its divisors is an integer number (97835365782).

Almost surely, 2^{11255107217760} is an apocalyptic number.

11255107217760 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 11255107217760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23480487787680).

11255107217760 is an abundant number, since it is smaller than the sum of its proper divisors (35705868357600).

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

11255107217760 is a wasteful number, since it uses less digits than its factorization.

11255107217760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278140 (or 4278123 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 45.

The spelling of 11255107217760 in words is "eleven trillion, two hundred fifty-five billion, one hundred seven million, two hundred seventeen thousand, seven hundred sixty".