1111721345280 has 2592 divisors, whose sum is σ = 5186779573248. Its totient is φ = 225740390400.

The previous prime is 1111721345261. The next prime is 1111721345299. The reversal of 1111721345280 is 825431271111.

It is a happy number.

1111721345280 is a `hidden beast` number, since 1 + 1 + 1 + 17 + 21 + 345 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (1111721345261) and next prime (1111721345299).

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6142106790 + ... + 6142106970.

Almost surely, 2^{1111721345280} is an apocalyptic number.

1111721345280 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 1111721345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593389786624).

1111721345280 is an abundant number, since it is smaller than the sum of its proper divisors (4075058227968).

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

1111721345280 is a wasteful number, since it uses less digits than its factorization.

1111721345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 1111721345280 in words is "one trillion, one hundred eleven billion, seven hundred twenty-one million, three hundred forty-five thousand, two hundred eighty".