216576376616160 has 576 divisors, whose sum is σ = 836192374617600. Its totient is φ = 52498572871680.

The previous prime is 216576376616153. The next prime is 216576376616167. The reversal of 216576376616160 is 61616673675612.

216576376616160 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 7 + 6 + 3 + 7 + 6 + 6 + 1 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (216576376616153) and next prime (216576376616167).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216576376616167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7639633666 + ... + 7639662014.

It is an arithmetic number, because the mean of its divisors is an integer number (1451722872600).

Almost surely, 2^{216576376616160} is an apocalyptic number.

216576376616160 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 216576376616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418096187308800).

216576376616160 is an abundant number, since it is smaller than the sum of its proper divisors (619615998001440).

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

216576376616160 is a wasteful number, since it uses less digits than its factorization.

216576376616160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46253 (or 46233 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 216576376616160 in words is "two hundred sixteen trillion, five hundred seventy-six billion, three hundred seventy-six million, six hundred sixteen thousand, one hundred sixty".