217160061120 has 84 divisors (see below), whose sum is σ = 746940136800. Its totient is φ = 57909348864.

The previous prime is 217160061113. The next prime is 217160061127. The reversal of 217160061120 is 21160061712.

It is a happy number.

217160061120 is a `hidden beast` number, since 2 + 17 + 16 + 0 + 0 + 611 + 20 = 666.

217160061120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (217160061113) and next prime (217160061127).

It is not an unprimeable number, because it can be changed into a prime (217160061127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37698520 + ... + 37704279.

Almost surely, 2^217160061120 is an apocalyptic number.

217160061120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217160061120 is an abundant number, since it is smaller than the sum of its proper divisors (529780075680).

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

217160061120 is a wasteful number, since it uses less digits than its factorization.

217160061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75402822 (or 75402809 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 217160061120 in words is "two hundred seventeen billion, one hundred sixty million, sixty-one thousand, one hundred twenty".