111827523456320 has 672 divisors, whose sum is σ = 326483653612032. Its totient is φ = 35729015832576.

The previous prime is 111827523456307. The next prime is 111827523456331. The reversal of 111827523456320 is 23654325728111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13099155092 + ... + 13099163628.

It is an arithmetic number, because the mean of its divisors is an integer number (485838770256).

Almost surely, 2^{111827523456320} is an apocalyptic number.

111827523456320 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 111827523456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163241826806016).

111827523456320 is an abundant number, since it is smaller than the sum of its proper divisors (214656130155712).

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

111827523456320 is a wasteful number, since it uses less digits than its factorization.

111827523456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8863 (or 8834 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 111827523456320 in words is "one hundred eleven trillion, eight hundred twenty-seven billion, five hundred twenty-three million, four hundred fifty-six thousand, three hundred twenty".