218989952000 has 352 divisors, whose sum is σ = 568768611840. Its totient is φ = 84049920000.

The previous prime is 218989951963. The next prime is 218989952023. The reversal of 218989952000 is 259989812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 908671880 + ... + 908672120.

It is an arithmetic number, because the mean of its divisors is an integer number (1615819920).

Almost surely, 2^218989952000 is an apocalyptic number.

218989952000 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 218989952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284384305920).

218989952000 is an abundant number, since it is smaller than the sum of its proper divisors (349778659840).

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

218989952000 is a wasteful number, since it uses less digits than its factorization.

218989952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 53.

The spelling of 218989952000 in words is "two hundred eighteen billion, nine hundred eighty-nine million, nine hundred fifty-two thousand".