321163315200 has 2880 divisors, whose sum is σ = 1568967079680. Its totient is φ = 63063982080.

The previous prime is 321163315183. The next prime is 321163315219. The reversal of 321163315200 is 2513361123.

321163315200 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 633 + 1 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8680089582 + ... + 8680089618.

It is an arithmetic number, because the mean of its divisors is an integer number (544780236).

Almost surely, 2^321163315200 is an apocalyptic number.

321163315200 is a gapful number since it is divisible by the number (30) 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 321163315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784483539840).

321163315200 is an abundant number, since it is smaller than the sum of its proper divisors (1247803764480).

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

321163315200 is a wasteful number, since it uses less digits than its factorization.

321163315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 321163315200 its reverse (2513361123), we get a palindrome (323676676323).

The spelling of 321163315200 in words is "three hundred twenty-one billion, one hundred sixty-three million, three hundred fifteen thousand, two hundred".