111900821760 has 2592 divisors, whose sum is σ = 552639386880. Its totient is φ = 21254897664.

The previous prime is 111900821731. The next prime is 111900821771. The reversal of 111900821760 is 67128009111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4865253109 + ... + 4865253131.

It is an arithmetic number, because the mean of its divisors is an integer number (213209640).

Almost surely, 2^111900821760 is an apocalyptic number.

111900821760 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 111900821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276319693440).

111900821760 is an abundant number, since it is smaller than the sum of its proper divisors (440738565120).

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

111900821760 is a wasteful number, since it uses less digits than its factorization.

111900821760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 111900821760 in words is "one hundred eleven billion, nine hundred million, eight hundred twenty-one thousand, seven hundred sixty".