11823109522560 has 3072 divisors, whose sum is σ = 53617545216000. Its totient is φ = 2445520896000.

The previous prime is 11823109522559. The next prime is 11823109522561. The reversal of 11823109522560 is 6522590132811.

11823109522560 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 31 + 0 + 9 + 52 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (11823109522559) and next prime (11823109522561).

It is a super-2 number, since 2×11823109522560² (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 not an unprimeable number, because it can be changed into a prime (11823109522561) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 75306430002 + ... + 75306430158.

It is an arithmetic number, because the mean of its divisors is an integer number (17453628000).

Almost surely, 2^{11823109522560} is an apocalyptic number.

11823109522560 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 11823109522560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26808772608000).

11823109522560 is an abundant number, since it is smaller than the sum of its proper divisors (41794435693440).

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

11823109522560 is a wasteful number, since it uses less digits than its factorization.

11823109522560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 11823109522560 in words is "eleven trillion, eight hundred twenty-three billion, one hundred nine million, five hundred twenty-two thousand, five hundred sixty".