216489686400 has 1152 divisors, whose sum is σ = 872894131200. Its totient is φ = 50721914880.

The previous prime is 216489686321. The next prime is 216489686419. The reversal of 216489686400 is 4686984612.

216489686400 is a `hidden beast` number, since 21 + 64 + 89 + 6 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1378915122 + ... + 1378915278.

It is an arithmetic number, because the mean of its divisors is an integer number (757720600).

Almost surely, 2^216489686400 is an apocalyptic number.

216489686400 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 216489686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436447065600).

216489686400 is an abundant number, since it is smaller than the sum of its proper divisors (656404444800).

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

216489686400 is a wasteful number, since it uses less digits than its factorization.

216489686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 216489686400 in words is "two hundred sixteen billion, four hundred eighty-nine million, six hundred eighty-six thousand, four hundred".