216580980000 has 1440 divisors, whose sum is σ = 931027825728. Its totient is φ = 43545600000.

The previous prime is 216580979987. The next prime is 216580980001. The reversal of 216580980000 is 89085612.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (216580980001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1196579910 + ... + 1196580090.

Almost surely, 2^216580980000 is an apocalyptic number.

216580980000 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 216580980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465513912864).

216580980000 is an abundant number, since it is smaller than the sum of its proper divisors (714446845728).

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

216580980000 is a wasteful number, since it uses less digits than its factorization.

216580980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 216580980000 in words is "two hundred sixteen billion, five hundred eighty million, nine hundred eighty thousand".