11855245680 has 240 divisors, whose sum is σ = 41408849664. Its totient is φ = 3036303360.

The previous prime is 11855245667. The next prime is 11855245709. The reversal of 11855245680 is 8654255811.

11855245680 is a `hidden beast` number, since 1 + 1 + 85 + 5 + 2 + 4 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3055902 + ... + 3059778.

Almost surely, 2^11855245680 is an apocalyptic number.

11855245680 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 11855245680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20704424832).

11855245680 is an abundant number, since it is smaller than the sum of its proper divisors (29553603984).

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

11855245680 is a wasteful number, since it uses less digits than its factorization.

11855245680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 11855245680 in words is "eleven billion, eight hundred fifty-five million, two hundred forty-five thousand, six hundred eighty".