11824516096360 has 128 divisors (see below), whose sum is σ = 30569400000000. Its totient is φ = 4071115019520.

The previous prime is 11824516096321. The next prime is 11824516096399. The reversal of 11824516096360 is 6369061542811.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11824516096321) and next prime (11824516096399).

It is a junction number, because it is equal to n+sod(n) for n = 11824516096298 and 11824516096307.

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 31 ways as a sum of consecutive naturals, for example, 13787391 + ... + 14619889.

It is an arithmetic number, because the mean of its divisors is an integer number (238823437500).

Almost surely, 2^{11824516096360} is an apocalyptic number.

11824516096360 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 11824516096360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284700000000).

11824516096360 is an abundant number, since it is smaller than the sum of its proper divisors (18744883903640).

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

11824516096360 is a wasteful number, since it uses less digits than its factorization.

11824516096360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834239 (or 834235 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 11824516096360 in words is "eleven trillion, eight hundred twenty-four billion, five hundred sixteen million, ninety-six thousand, three hundred sixty".