111828789072 has 960 divisors, whose sum is σ = 444571545600. Its totient is φ = 25291284480.

The previous prime is 111828789067. The next prime is 111828789073. The reversal of 111828789072 is 270987828111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111828789073) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 295062579 + ... + 295062957.

It is an arithmetic number, because the mean of its divisors is an integer number (463095360).

Almost surely, 2^111828789072 is an apocalyptic number.

111828789072 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 111828789072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222285772800).

111828789072 is an abundant number, since it is smaller than the sum of its proper divisors (332742756528).

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

111828789072 is a wasteful number, since it uses less digits than its factorization.

111828789072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 54.

The spelling of 111828789072 in words is "one hundred eleven billion, eight hundred twenty-eight million, seven hundred eighty-nine thousand, seventy-two".