111801332160 has 1680 divisors, whose sum is σ = 503268020640. Its totient is φ = 23410114560.

The previous prime is 111801332131. The next prime is 111801332171. The reversal of 111801332160 is 61233108111.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 989392264 + ... + 989392376.

It is an arithmetic number, because the mean of its divisors is an integer number (299564298).

Almost surely, 2^111801332160 is an apocalyptic number.

111801332160 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 111801332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251634010320).

111801332160 is an abundant number, since it is smaller than the sum of its proper divisors (391466688480).

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

111801332160 is a wasteful number, since it uses less digits than its factorization.

111801332160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 111801332160 in words is "one hundred eleven billion, eight hundred one million, three hundred thirty-two thousand, one hundred sixty".