111068272800 has 216 divisors, whose sum is σ = 392785602300. Its totient is φ = 29532672000.

The previous prime is 111068272781. The next prime is 111068272801. The reversal of 111068272800 is 8272860111.

It can be written as a sum of positive squares in 6 ways, for example, as 33274137744 + 77794135056 = 182412^2 + 278916^2 .

It is a super-2 number, since 2×111068272800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (111068272801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2490700 + ... + 2534900.

Almost surely, 2^111068272800 is an apocalyptic number.

111068272800 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 111068272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196392801150).

111068272800 is an abundant number, since it is smaller than the sum of its proper divisors (281717329500).

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

111068272800 is a wasteful number, since it uses less digits than its factorization.

111068272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44576 (or 44560 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 111068272800 in words is "one hundred eleven billion, sixty-eight million, two hundred seventy-two thousand, eight hundred".