213159321975600 has 4800 divisors, whose sum is σ = 1058276915942400. Its totient is φ = 40489743974400.

The previous prime is 213159321975563. The next prime is 213159321975601. The reversal of 213159321975600 is 6579123951312.

It is a happy number.

213159321975600 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 5 + 9 + 3 + 21 + 9 + 7 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (213159321975601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 179578198207 + ... + 179578199393.

It is an arithmetic number, because the mean of its divisors is an integer number (220474357488).

Almost surely, 2^{213159321975600} is an apocalyptic number.

213159321975600 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 213159321975600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529138457971200).

213159321975600 is an abundant number, since it is smaller than the sum of its proper divisors (845117593966800).

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

213159321975600 is a wasteful number, since it uses less digits than its factorization.

213159321975600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 213159321975600 in words is "two hundred thirteen trillion, one hundred fifty-nine billion, three hundred twenty-one million, nine hundred seventy-five thousand, six hundred".