216401169600 has 1260 divisors, whose sum is σ = 980568590040. Its totient is φ = 44887449600.

The previous prime is 216401169563. The next prime is 216401169689. The reversal of 216401169600 is 6961104612.

216401169600 is a `hidden beast` number, since 2 + 1 + 6 + 40 + 1 + 1 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 380318116 + ... + 380318684.

Almost surely, 2^216401169600 is an apocalyptic number.

216401169600 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 216401169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490284295020).

216401169600 is an abundant number, since it is smaller than the sum of its proper divisors (764167420440).

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

216401169600 is a wasteful number, since it uses less digits than its factorization.

216401169600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 216401169600 in words is "two hundred sixteen billion, four hundred one million, one hundred sixty-nine thousand, six hundred".