213339564257280 has 832 divisors, whose sum is σ = 704178608209920. Its totient is φ = 55126137765888.

The previous prime is 213339564257233. The next prime is 213339564257291. The reversal of 213339564257280 is 82752465933312.

It is a super-2 number, since 2×213339564257280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75040295539 + ... + 75040298381.

It is a 1-persistent number, because it is pandigital, but 2⋅213339564257280 = 426679128514560 is not.

Almost surely, 2^{213339564257280} is an apocalyptic number.

213339564257280 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 213339564257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352089304104960).

213339564257280 is an abundant number, since it is smaller than the sum of its proper divisors (490839043952640).

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

213339564257280 is a wasteful number, since it uses less digits than its factorization.

213339564257280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 60.

The spelling of 213339564257280 in words is "two hundred thirteen trillion, three hundred thirty-nine billion, five hundred sixty-four million, two hundred fifty-seven thousand, two hundred eighty".