213372933696000 has 1280 divisors, whose sum is σ = 849510772830720. Its totient is φ = 52482849177600.

The previous prime is 213372933695953. The next prime is 213372933696011. The reversal of 213372933696000 is 696339273312.

213372933696000 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 7 + 29 + 3 + 3 + 6 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-3 number, since 3×213372933696000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39244605282 + ... + 39244610718.

It is an arithmetic number, because the mean of its divisors is an integer number (663680291274).

Almost surely, 2^{213372933696000} is an apocalyptic number.

213372933696000 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 213372933696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424755386415360).

213372933696000 is an abundant number, since it is smaller than the sum of its proper divisors (636137839134720).

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

213372933696000 is a wasteful number, since it uses less digits than its factorization.

213372933696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7239 (or 7207 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 54.

The spelling of 213372933696000 in words is "two hundred thirteen trillion, three hundred seventy-two billion, nine hundred thirty-three million, six hundred ninety-six thousand".