11823851520 has 576 divisors, whose sum is σ = 45075139200. Its totient is φ = 2848849920.

The previous prime is 11823851519. The next prime is 11823851527. The reversal of 11823851520 is 2515832811.

11823851520 is a `hidden beast` number, since 1 + 1 + 82 + 3 + 8 + 51 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11823851527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85063611 + ... + 85063749.

It is an arithmetic number, because the mean of its divisors is an integer number (78255450).

Almost surely, 2^11823851520 is an apocalyptic number.

11823851520 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 11823851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22537569600).

11823851520 is an abundant number, since it is smaller than the sum of its proper divisors (33251287680).

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

11823851520 is a wasteful number, since it uses less digits than its factorization.

11823851520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 11823851520 in words is "eleven billion, eight hundred twenty-three million, eight hundred fifty-one thousand, five hundred twenty".