216854557920 has 2304 divisors, whose sum is σ = 1075304595456. Its totient is φ = 38320128000.

The previous prime is 216854557891. The next prime is 216854557957. The reversal of 216854557920 is 29755458612.

216854557920 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 5 + 45 + 579 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1027746615 + ... + 1027746825.

It is an arithmetic number, because the mean of its divisors is an integer number (466712064).

Almost surely, 2^216854557920 is an apocalyptic number.

216854557920 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 216854557920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537652297728).

216854557920 is an abundant number, since it is smaller than the sum of its proper divisors (858450037536).

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

216854557920 is a wasteful number, since it uses less digits than its factorization.

216854557920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 216854557920 in words is "two hundred sixteen billion, eight hundred fifty-four million, five hundred fifty-seven thousand, nine hundred twenty".