11855143540800 has 2520 divisors, whose sum is σ = 53630964737856. Its totient is φ = 2515004743680.

The previous prime is 11855143540789. The next prime is 11855143540843. The reversal of 11855143540800 is 804534155811.

11855143540800 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 514 + 3 + 54 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×11855143540800² (a number of 27 digits) contains 22 as substring.

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

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 359 ways as a sum of consecutive naturals, for example, 17357457259 + ... + 17357457941.

Almost surely, 2^{11855143540800} is an apocalyptic number.

11855143540800 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 11855143540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26815482368928).

11855143540800 is an abundant number, since it is smaller than the sum of its proper divisors (41775821197056).

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

11855143540800 is a wasteful number, since it uses less digits than its factorization.

11855143540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 772 counting only the distinct ones).

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

The spelling of 11855143540800 in words is "eleven trillion, eight hundred fifty-five billion, one hundred forty-three million, five hundred forty thousand, eight hundred".