213464708812800 has 2496 divisors, whose sum is σ = 842417735147520. Its totient is φ = 52887748608000.

The previous prime is 213464708812741. The next prime is 213464708812801. The reversal of 213464708812800 is 8218807464312.

213464708812800 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 6 + 470 + 88 + 12 + 80 + 0 = 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 (213464708812801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 263211724395 + ... + 263211725205.

Almost surely, 2^{213464708812800} is an apocalyptic number.

213464708812800 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 213464708812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421208867573760).

213464708812800 is an abundant number, since it is smaller than the sum of its proper divisors (628953026334720).

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

213464708812800 is a wasteful number, since it uses less digits than its factorization.

213464708812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 213464708812800 in words is "two hundred thirteen trillion, four hundred sixty-four billion, seven hundred eight million, eight hundred twelve thousand, eight hundred".