216553120992 has 72 divisors (see below), whose sum is σ = 663193944504. Its totient is φ = 66631728384.

The previous prime is 216553120981. The next prime is 216553120997. The reversal of 216553120992 is 299021355612.

216553120992 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 531 + 20 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×216553120992² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216553120997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28916278 + ... + 28923765.

It is an arithmetic number, because the mean of its divisors is an integer number (9211027007).

Almost surely, 2^216553120992 is an apocalyptic number.

It is an amenable number.

216553120992 is an abundant number, since it is smaller than the sum of its proper divisors (446640823512).

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

216553120992 is a wasteful number, since it uses less digits than its factorization.

216553120992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57840072 (or 57840061 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 216553120992 in words is "two hundred sixteen billion, five hundred fifty-three million, one hundred twenty thousand, nine hundred ninety-two".