111898721278080 has 1152 divisors, whose sum is σ = 451253373021360. Its totient is φ = 25443332259840.

The previous prime is 111898721278073. The next prime is 111898721278081. The reversal of 111898721278080 is 80872127898111.

111898721278080 is a `hidden beast` number, since 11 + 189 + 87 + 21 + 278 + 0 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 101421173772864 + 10477547505216 = 10070808^2 + 3236904^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 111898721277999 and 111898721278017.

It is not an unprimeable number, because it can be changed into a prime (111898721278081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3471541644 + ... + 3471573876.

Almost surely, 2^{111898721278080} is an apocalyptic number.

111898721278080 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 111898721278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225626686510680).

111898721278080 is an abundant number, since it is smaller than the sum of its proper divisors (339354651743280).

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

111898721278080 is a wasteful number, since it uses less digits than its factorization.

111898721278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32590 (or 32564 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 63.

The spelling of 111898721278080 in words is "one hundred eleven trillion, eight hundred ninety-eight billion, seven hundred twenty-one million, two hundred seventy-eight thousand, eighty".