11855052000 has 768 divisors, whose sum is σ = 49929384960. Its totient is φ = 2700288000.

The previous prime is 11855051993. The next prime is 11855052019. The reversal of 11855052000 is 25055811.

11855052000 is a `hidden beast` number, since 11 + 85 + 50 + 520 + 0 + 0 = 666.

11855052000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20195707 + ... + 20196293.

It is an arithmetic number, because the mean of its divisors is an integer number (65012220).

Almost surely, 2^11855052000 is an apocalyptic number.

11855052000 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 11855052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24964692480).

11855052000 is an abundant number, since it is smaller than the sum of its proper divisors (38074332960).

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

11855052000 is a wasteful number, since it uses less digits than its factorization.

11855052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 11855052000 in words is "eleven billion, eight hundred fifty-five million, fifty-two thousand".