7111688880 has 120 divisors (see below), whose sum is σ = 23419585872. Its totient is φ = 1784877056.

The previous prime is 7111688873. The next prime is 7111688953. The reversal of 7111688880 is 888861117.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×7111688880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 23 ways as a sum of consecutive naturals, for example, 18094 + ... + 120626.

Almost surely, 2^7111688880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7111688880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11709792936).

7111688880 is an abundant number, since it is smaller than the sum of its proper divisors (16307896992).

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

7111688880 is a wasteful number, since it uses less digits than its factorization.

7111688880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102583 (or 102560 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 48.

The square root of 7111688880 is about 84330.8299496691. The cubic root of 7111688880 is about 1923.0515060994.

The spelling of 7111688880 in words is "seven billion, one hundred eleven million, six hundred eighty-eight thousand, eight hundred eighty".