216562502406096 has 400 divisors, whose sum is σ = 781960159918080. Its totient is φ = 56213879420160.

The previous prime is 216562502406013. The next prime is 216562502406143. The reversal of 216562502406096 is 690604205265612.

216562502406096 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 6 + 2 + 5 + 0 + 24 + 0 + 609 + 6 = 666.

It is a super-2 number, since 2×216562502406096² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 154879725 + ... + 156271731.

Almost surely, 2^{216562502406096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216562502406096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390980079959040).

216562502406096 is an abundant number, since it is smaller than the sum of its proper divisors (565397657511984).

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

216562502406096 is a wasteful number, since it uses less digits than its factorization.

216562502406096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393604 (or 1393589 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 216562502406096 in words is "two hundred sixteen trillion, five hundred sixty-two billion, five hundred two million, four hundred six thousand, ninety-six".