111513160857600 has 720 divisors, whose sum is σ = 413182835465400. Its totient is φ = 29725192028160.

The previous prime is 111513160857599. The next prime is 111513160857643. The reversal of 111513160857600 is 6758061315111.

111513160857600 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 1 + 31 + 6 + 0 + 8 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17994697702 + ... + 17994703898.

Almost surely, 2^{111513160857600} is an apocalyptic number.

111513160857600 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 111513160857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206591417732700).

111513160857600 is an abundant number, since it is smaller than the sum of its proper divisors (301669674607800).

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

111513160857600 is an equidigital number, since it uses as much as digits as its factorization.

111513160857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10580 (or 10546 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 111513160857600 in words is "one hundred eleven trillion, five hundred thirteen billion, one hundred sixty million, eight hundred fifty-seven thousand, six hundred".