216617333715720 has 384 divisors, whose sum is σ = 821736669312000. Its totient is φ = 48456757260288.

The previous prime is 216617333715707. The next prime is 216617333715787. The reversal of 216617333715720 is 27517333716612.

216617333715720 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 1 + 7 + 33 + 37 + 1 + 572 + 0 = 666.

It is a super-2 number, since 2×216617333715720² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4091957092 + ... + 4092010028.

It is an arithmetic number, because the mean of its divisors is an integer number (2139939243000).

Almost surely, 2^{216617333715720} is an apocalyptic number.

216617333715720 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 216617333715720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410868334656000).

216617333715720 is an abundant number, since it is smaller than the sum of its proper divisors (605119335596280).

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

216617333715720 is a wasteful number, since it uses less digits than its factorization.

216617333715720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87557 (or 87550 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 216617333715720 in words is "two hundred sixteen trillion, six hundred seventeen billion, three hundred thirty-three million, seven hundred fifteen thousand, seven hundred twenty".