218157661171120 has 80 divisors (see below), whose sum is σ = 559544318076960. Its totient is φ = 78438709606400.

The previous prime is 218157661171103. The next prime is 218157661171123. The reversal of 218157661171120 is 21171166751812.

218157661171120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (218157661171123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1392654451 + ... + 1392811090.

It is an arithmetic number, because the mean of its divisors is an integer number (6994303975962).

Almost surely, 2^{218157661171120} is an apocalyptic number.

218157661171120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218157661171120 is an abundant number, since it is smaller than the sum of its proper divisors (341386656905840).

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

218157661171120 is a wasteful number, since it uses less digits than its factorization.

218157661171120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785465654 (or 2785465648 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 49.

The spelling of 218157661171120 in words is "two hundred eighteen trillion, one hundred fifty-seven billion, six hundred sixty-one million, one hundred seventy-one thousand, one hundred twenty".