213980966102820 has 384 divisors, whose sum is σ = 717216603586560. Its totient is φ = 46606499850240.

The previous prime is 213980966102809. The next prime is 213980966102833. The reversal of 213980966102820 is 28201669089312.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3311290110 + ... + 3311354730.

It is an arithmetic number, because the mean of its divisors is an integer number (1867751571840).

Almost surely, 2^{213980966102820} is an apocalyptic number.

213980966102820 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 213980966102820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358608301793280).

213980966102820 is an abundant number, since it is smaller than the sum of its proper divisors (503235637483740).

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

213980966102820 is a wasteful number, since it uses less digits than its factorization.

213980966102820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65955 (or 65953 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 213980966102820 in words is "two hundred thirteen trillion, nine hundred eighty billion, nine hundred sixty-six million, one hundred two thousand, eight hundred twenty".