111798201600 has 1296 divisors, whose sum is σ = 455490846720. Its totient is φ = 26011238400.

The previous prime is 111798201577. The next prime is 111798201623. The reversal of 111798201600 is 6102897111.

111798201600 is a `hidden beast` number, since 11 + 17 + 9 + 8 + 20 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (111798201577) and next prime (111798201623).

It is a super-3 number, since 3×111798201600³ (a number of 34 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 880300737 + ... + 880300863.

Almost surely, 2^111798201600 is an apocalyptic number.

111798201600 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 111798201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227745423360).

111798201600 is an abundant number, since it is smaller than the sum of its proper divisors (343692645120).

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

111798201600 is a wasteful number, since it uses less digits than its factorization.

111798201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 214 counting only the distinct ones).

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

The spelling of 111798201600 in words is "one hundred eleven billion, seven hundred ninety-eight million, two hundred one thousand, six hundred".