10711980288 has 108 divisors (see below), whose sum is σ = 31308857580. Its totient is φ = 3521691648.

The previous prime is 10711980287. The next prime is 10711980289. The reversal of 10711980288 is 88208911701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10711980287) and next prime (10711980289).

It can be written as a sum of positive squares in 2 ways, for example, as 5927768064 + 4784212224 = 76992^2 + 69168^2 .

It is a super-2 number, since 2×10711980288² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10711980287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136348 + ... + 200036.

Almost surely, 2^10711980288 is an apocalyptic number.

10711980288 is a gapful number since it is divisible by the number (18) 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 10711980288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15654428790).

10711980288 is an abundant number, since it is smaller than the sum of its proper divisors (20596877292).

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

10711980288 is an equidigital number, since it uses as much as digits as its factorization.

10711980288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63784 (or 63767 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 10711980288 in words is "ten billion, seven hundred eleven million, nine hundred eighty thousand, two hundred eighty-eight".