1116005580 has 192 divisors, whose sum is σ = 3614822400. Its totient is φ = 285534720.

The previous prime is 1116005573. The next prime is 1116005629. The reversal of 1116005580 is 855006111.

1116005580 is a `hidden beast` number, since 1 + 1 + 1 + 600 + 5 + 58 + 0 = 666.

It is a super-3 number, since 3×1116005580³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2728416 + ... + 2728824.

It is an arithmetic number, because the mean of its divisors is an integer number (18827200).

Almost surely, 2^1116005580 is an apocalyptic number.

1116005580 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 1116005580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807411200).

1116005580 is an abundant number, since it is smaller than the sum of its proper divisors (2498816820).

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

1116005580 is a wasteful number, since it uses less digits than its factorization.

1116005580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 1116005580 is about 33406.6696933412. The cubic root of 1116005580 is about 1037.2627662937.

The spelling of 1116005580 in words is "one billion, one hundred sixteen million, five thousand, five hundred eighty".