218006178960 has 240 divisors, whose sum is σ = 749130731136. Its totient is φ = 52335968256.

The previous prime is 218006178913. The next prime is 218006179103. The reversal of 218006178960 is 69871600812.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×218006178960³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1526952 + ... + 1663608.

Almost surely, 2^218006178960 is an apocalyptic number.

218006178960 is a gapful number since it is divisible by the number (20) 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 218006178960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374565365568).

218006178960 is an abundant number, since it is smaller than the sum of its proper divisors (531124552176).

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

218006178960 is a wasteful number, since it uses less digits than its factorization.

218006178960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136730 (or 136707 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 218006178960 in words is "two hundred eighteen billion, six million, one hundred seventy-eight thousand, nine hundred sixty".