2211116087880 has 1152 divisors, whose sum is σ = 8940728160000. Its totient is φ = 489731235840.

The previous prime is 2211116087861. The next prime is 2211116087891. The reversal of 2211116087880 is 887806111122.

2211116087880 is a `hidden beast` number, since 2 + 21 + 1 + 11 + 608 + 7 + 8 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3885968236 + ... + 3885968804.

It is an arithmetic number, because the mean of its divisors is an integer number (7761048750).

Almost surely, 2^{2211116087880} is an apocalyptic number.

2211116087880 is a gapful number since it is divisible by the number (20) 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 2211116087880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470364080000).

2211116087880 is an abundant number, since it is smaller than the sum of its proper divisors (6729612072120).

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

2211116087880 is a wasteful number, since it uses less digits than its factorization.

2211116087880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The spelling of 2211116087880 in words is "two trillion, two hundred eleven billion, one hundred sixteen million, eighty-seven thousand, eight hundred eighty".