216497581966800 has 2160 divisors, whose sum is σ = 863055841922560. Its totient is φ = 50080505610240.

The previous prime is 216497581966789. The next prime is 216497581966847. The reversal of 216497581966800 is 8669185794612.

216497581966800 is a `hidden beast` number, since 2 + 1 + 6 + 497 + 58 + 1 + 9 + 6 + 6 + 80 + 0 = 666.

It is a super-3 number, since 3×216497581966800³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 413953311339 + ... + 413953311861.

Almost surely, 2^{216497581966800} is an apocalyptic number.

216497581966800 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 216497581966800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431527920961280).

216497581966800 is an abundant number, since it is smaller than the sum of its proper divisors (646558259955760).

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

216497581966800 is a wasteful number, since it uses less digits than its factorization.

216497581966800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 216497581966800 in words is "two hundred sixteen trillion, four hundred ninety-seven billion, five hundred eighty-one million, nine hundred sixty-six thousand, eight hundred".