1111085987760 has 840 divisors, whose sum is σ = 4770727484256. Its totient is φ = 239013089280.

The previous prime is 1111085987723. The next prime is 1111085987771. The reversal of 1111085987760 is 677895801111.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×1111085987760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1111085987697 and 1111085987706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 48569125 + ... + 48591995.

Almost surely, 2^{1111085987760} is an apocalyptic number.

1111085987760 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 1111085987760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385363742128).

1111085987760 is an abundant number, since it is smaller than the sum of its proper divisors (3659641496496).

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

1111085987760 is a wasteful number, since it uses less digits than its factorization.

1111085987760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22933 (or 22905 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 54.

The spelling of 1111085987760 in words is "one trillion, one hundred eleven billion, eighty-five million, nine hundred eighty-seven thousand, seven hundred sixty".