111993315840 has 480 divisors, whose sum is σ = 444400235136. Its totient is φ = 25533480960.

The previous prime is 111993315799. The next prime is 111993315857. The reversal of 111993315840 is 48513399111.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95638455 + ... + 95639625.

Almost surely, 2^111993315840 is an apocalyptic number.

111993315840 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 111993315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222200117568).

111993315840 is an abundant number, since it is smaller than the sum of its proper divisors (332406919296).

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

111993315840 is a wasteful number, since it uses less digits than its factorization.

111993315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 111993315840 in words is "one hundred eleven billion, nine hundred ninety-three million, three hundred fifteen thousand, eight hundred forty".