216488686801920 has 704 divisors, whose sum is σ = 750631263217920. Its totient is φ = 52936968241152.

The previous prime is 216488686801903. The next prime is 216488686801957. The reversal of 216488686801920 is 29108686884612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42641062422 + ... + 42641067498.

Almost surely, 2^{216488686801920} is an apocalyptic number.

216488686801920 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 216488686801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375315631608960).

216488686801920 is an abundant number, since it is smaller than the sum of its proper divisors (534142576416000).

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

216488686801920 is a wasteful number, since it uses less digits than its factorization.

216488686801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6490 (or 6472 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 69.

The spelling of 216488686801920 in words is "two hundred sixteen trillion, four hundred eighty-eight billion, six hundred eighty-six million, eight hundred one thousand, nine hundred twenty".