1711129680 has 120 divisors (see below), whose sum is σ = 6188619528. Its totient is φ = 421198848.

The previous prime is 1711129631. The next prime is 1711129681. The reversal of 1711129680 is 869211171.

It can be written as a sum of positive squares in 4 ways, for example, as 347747904 + 1363381776 = 18648^2 + 36924^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1711129681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82047 + ... + 100766.

Almost surely, 2^1711129680 is an apocalyptic number.

1711129680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1711129680 is an abundant number, since it is smaller than the sum of its proper divisors (4477489848).

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

1711129680 is a wasteful number, since it uses less digits than its factorization.

1711129680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182845 (or 182836 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The square root of 1711129680 is about 41365.8032679168. The cubic root of 1711129680 is about 1196.0820553464.

The spelling of 1711129680 in words is "one billion, seven hundred eleven million, one hundred twenty-nine thousand, six hundred eighty".