216552491366400 has 2304 divisors, whose sum is σ = 973182712320000. Its totient is φ = 46095471083520.

The previous prime is 216552491366389. The next prime is 216552491366417. The reversal of 216552491366400 is 4663194255612.

216552491366400 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 52 + 491 + 3 + 66 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10847682819 + ... + 10847702781.

It is an arithmetic number, because the mean of its divisors is an integer number (422388330000).

Almost surely, 2^{216552491366400} is an apocalyptic number.

216552491366400 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 216552491366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486591356160000).

216552491366400 is an abundant number, since it is smaller than the sum of its proper divisors (756630220953600).

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

216552491366400 is a wasteful number, since it uses less digits than its factorization.

216552491366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20089 (or 20058 counting only the distinct ones).

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

The spelling of 216552491366400 in words is "two hundred sixteen trillion, five hundred fifty-two billion, four hundred ninety-one million, three hundred sixty-six thousand, four hundred".