216573956928 has 672 divisors, whose sum is σ = 787788518400. Its totient is φ = 58007964672.

The previous prime is 216573956899. The next prime is 216573956981. The reversal of 216573956928 is 829659375612.

216573956928 is a `hidden beast` number, since 2 + 1 + 6 + 573 + 9 + 56 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165702451 + ... + 165703757.

Almost surely, 2^216573956928 is an apocalyptic number.

216573956928 is a gapful number since it is divisible by the number (28) 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 216573956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393894259200).

216573956928 is an abundant number, since it is smaller than the sum of its proper divisors (571214561472).

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

216573956928 is a wasteful number, since it uses less digits than its factorization.

216573956928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1441 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 216573956928 in words is "two hundred sixteen billion, five hundred seventy-three million, nine hundred fifty-six thousand, nine hundred twenty-eight".