216131520000 has 800 divisors, whose sum is σ = 796764253824. Its totient is φ = 51609600000.

The previous prime is 216131519999. The next prime is 216131520037. The reversal of 216131520000 is 25131612.

It is a tau number, because it is divible by the number of its divisors (800).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1024319895 + ... + 1024320105.

Almost surely, 2^216131520000 is an apocalyptic number.

216131520000 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 216131520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398382126912).

216131520000 is an abundant number, since it is smaller than the sum of its proper divisors (580632733824).

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

216131520000 is an equidigital number, since it uses as much as digits as its factorization.

216131520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 216131520000 its reverse (25131612), we get a palindrome (216156651612).

The spelling of 216131520000 in words is "two hundred sixteen billion, one hundred thirty-one million, five hundred twenty thousand".