110882856307872 has 768 divisors, whose sum is σ = 336808842854400. Its totient is φ = 31633956864000.

The previous prime is 110882856307837. The next prime is 110882856307921. The reversal of 110882856307872 is 278703658288011.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98213335404 + ... + 98213336532.

It is an arithmetic number, because the mean of its divisors is an integer number (438553180800).

Almost surely, 2^{110882856307872} is an apocalyptic number.

110882856307872 is a gapful number since it is divisible by the number (12) 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 110882856307872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168404421427200).

110882856307872 is an abundant number, since it is smaller than the sum of its proper divisors (225925986546528).

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

110882856307872 is a wasteful number, since it uses less digits than its factorization.

110882856307872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 66.

The spelling of 110882856307872 in words is "one hundred ten trillion, eight hundred eighty-two billion, eight hundred fifty-six million, three hundred seven thousand, eight hundred seventy-two".