216220130400 has 144 divisors (see below), whose sum is σ = 745196460624. Its totient is φ = 54267002880.

The previous prime is 216220130351. The next prime is 216220130513. The reversal of 216220130400 is 4031022612.

216220130400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×216220130400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2608957 + ... + 2690556.

It is an arithmetic number, because the mean of its divisors is an integer number (5174975421).

Almost surely, 2^216220130400 is an apocalyptic number.

216220130400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216220130400 is an abundant number, since it is smaller than the sum of its proper divisors (528976330224).

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

216220130400 is a wasteful number, since it uses less digits than its factorization.

216220130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5299553 (or 5299540 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The spelling of 216220130400 in words is "two hundred sixteen billion, two hundred twenty million, one hundred thirty thousand, four hundred".