216221253120 has 640 divisors, whose sum is σ = 799462224000. Its totient is φ = 55325491200.

The previous prime is 216221253077. The next prime is 216221253253. The reversal of 216221253120 is 21352122612.

216221253120 is a `hidden beast` number, since 2 + 1 + 622 + 1 + 2 + 5 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 539204920 + ... + 539205320.

It is an arithmetic number, because the mean of its divisors is an integer number (1249159725).

Almost surely, 2^216221253120 is an apocalyptic number.

216221253120 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 216221253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399731112000).

216221253120 is an abundant number, since it is smaller than the sum of its proper divisors (583240970880).

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

216221253120 is a wasteful number, since it uses less digits than its factorization.

216221253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 216221253120 its reverse (21352122612), we get a palindrome (237573375732).

The spelling of 216221253120 in words is "two hundred sixteen billion, two hundred twenty-one million, two hundred fifty-three thousand, one hundred twenty".