111968778240 has 1152 divisors, whose sum is σ = 459490449600. Its totient is φ = 24914165760.

The previous prime is 111968778209. The next prime is 111968778283. The reversal of 111968778240 is 42877869111.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1258076116 + ... + 1258076204.

Almost surely, 2^111968778240 is an apocalyptic number.

111968778240 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 111968778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229745224800).

111968778240 is an abundant number, since it is smaller than the sum of its proper divisors (347521671360).

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

111968778240 is a wasteful number, since it uses less digits than its factorization.

111968778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 111968778240 in words is "one hundred eleven billion, nine hundred sixty-eight million, seven hundred seventy-eight thousand, two hundred forty".