11823252480 has 1056 divisors, whose sum is σ = 49570545024. Its totient is φ = 2675441664.

The previous prime is 11823252421. The next prime is 11823252487. The reversal of 11823252480 is 8425232811.

It is a happy number.

11823252480 is a `hidden beast` number, since 11 + 82 + 325 + 248 + 0 = 666.

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 (11823252487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274959339 + ... + 274959381.

It is an arithmetic number, because the mean of its divisors is an integer number (46941804).

Almost surely, 2^11823252480 is an apocalyptic number.

11823252480 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 11823252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24785272512).

11823252480 is an abundant number, since it is smaller than the sum of its proper divisors (37747292544).

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

11823252480 is a wasteful number, since it uses less digits than its factorization.

11823252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 11823252480 in words is "eleven billion, eight hundred twenty-three million, two hundred fifty-two thousand, four hundred eighty".