11265785856000 has 1440 divisors, whose sum is σ = 45305822369808. Its totient is φ = 2768869785600.

The previous prime is 11265785855971. The next prime is 11265785856043. The reversal of 11265785856000 is 65858756211.

11265785856000 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 5 + 78 + 5 + 8 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 273537368064 + 10992248487936 = 523008^2 + 3315456^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17252351674 + ... + 17252352326.

Almost surely, 2^{11265785856000} is an apocalyptic number.

11265785856000 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 11265785856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22652911184904).

11265785856000 is an abundant number, since it is smaller than the sum of its proper divisors (34040036513808).

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

11265785856000 is an frugal number, since it uses more digits than its factorization.

11265785856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 11265785856000 in words is "eleven trillion, two hundred sixty-five billion, seven hundred eighty-five million, eight hundred fifty-six thousand".