821307213600 has 144 divisors (see below), whose sum is σ = 2765539869120. Its totient is φ = 211462988800.

The previous prime is 821307213599. The next prime is 821307213611. The reversal of 821307213600 is 6312703128.

It is a super-2 number, since 2×821307213600² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5830596 + ... + 5969795.

It is an arithmetic number, because the mean of its divisors is an integer number (19205137980).

Almost surely, 2^821307213600 is an apocalyptic number.

821307213600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

821307213600 is an abundant number, since it is smaller than the sum of its proper divisors (1944232655520).

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

821307213600 is a wasteful number, since it uses less digits than its factorization.

821307213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11800443 (or 11800430 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 821307213600 its reverse (6312703128), we get a palindrome (827619916728).

The spelling of 821307213600 in words is "eight hundred twenty-one billion, three hundred seven million, two hundred thirteen thousand, six hundred".