212817856204800 has 4680 divisors, whose sum is σ = 1009753591758912. Its totient is φ = 43810357248000.

The previous prime is 212817856204781. The next prime is 212817856204823. The reversal of 212817856204800 is 8402658718212.

212817856204800 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 1 + 7 + 8 + 5 + 620 + 4 + 8 + 0 + 0 = 666.

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 359 ways as a sum of consecutive naturals, for example, 809193369469 + ... + 809193369731.

Almost surely, 2^{212817856204800} is an apocalyptic number.

212817856204800 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 212817856204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504876795879456).

212817856204800 is an abundant number, since it is smaller than the sum of its proper divisors (796935735554112).

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

212817856204800 is a wasteful number, since it uses less digits than its factorization.

212817856204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 212817856204800 in words is "two hundred twelve trillion, eight hundred seventeen billion, eight hundred fifty-six million, two hundred four thousand, eight hundred".