111960561623040 has 1120 divisors, whose sum is σ = 442799508268656. Its totient is φ = 26886914703360.

The previous prime is 111960561623023. The next prime is 111960561623041. The reversal of 111960561623040 is 40326165069111.

111960561623040 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 6 + 0 + 5 + 616 + 23 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20128359223296 + 91832202399744 = 4486464^2 + 9582912^2 .

It is a super-3 number, since 3×111960561623040³ (a number of 43 digits) contains 333 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 (111960561623041) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1768334424 + ... + 1768397736.

Almost surely, 2^{111960561623040} is an apocalyptic number.

111960561623040 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 111960561623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221399754134328).

111960561623040 is an abundant number, since it is smaller than the sum of its proper divisors (330838946645616).

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

111960561623040 is an equidigital number, since it uses as much as digits as its factorization.

111960561623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63410 (or 63377 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 111960561623040 in words is "one hundred eleven trillion, nine hundred sixty billion, five hundred sixty-one million, six hundred twenty-three thousand, forty".