1716116580 has 72 divisors (see below), whose sum is σ = 5212122552. Its totient is φ = 457053696.

The previous prime is 1716116551. The next prime is 1716116581. The reversal of 1716116580 is 856116171.

1716116580 is a `hidden beast` number, since 1 + 7 + 1 + 61 + 16 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115476516 + 1600640064 = 10746^2 + 40008^2 .

It is a super-2 number, since 2×1716116580² = 5890112232301792800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1716116581) 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, 147952 + ... + 159128.

It is an arithmetic number, because the mean of its divisors is an integer number (72390591).

Almost surely, 2^1716116580 is an apocalyptic number.

1716116580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1716116580 is an abundant number, since it is smaller than the sum of its proper divisors (3496005972).

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

1716116580 is a wasteful number, since it uses less digits than its factorization.

1716116580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12045 (or 12040 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 1716116580 is about 41426.0374643774. The cubic root of 1716116580 is about 1197.2428784187.

The spelling of 1716116580 in words is "one billion, seven hundred sixteen million, one hundred sixteen thousand, five hundred eighty".