1111968000000 has 2016 divisors, whose sum is σ = 4890903020640. Its totient is φ = 248832000000.

The previous prime is 1111967999983. The next prime is 1111968000019. The reversal of 1111968000000 is 8691111.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 15000 × 14040 × 5280.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 85535999994 + ... + 85536000006.

It is an arithmetic number, because the mean of its divisors is an integer number (2426043165).

Almost surely, 2^{1111968000000} is an apocalyptic number.

1111968000000 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 1111968000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445451510320).

1111968000000 is an abundant number, since it is smaller than the sum of its proper divisors (3778935020640).

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

1111968000000 is an frugal number, since it uses more digits than its factorization.

1111968000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 1111968000000 in words is "one trillion, one hundred eleven billion, nine hundred sixty-eight million", and thus it is an aban number.