213864204314880 has 3456 divisors, whose sum is σ = 942359135477760. Its totient is φ = 43663207956480.

The previous prime is 213864204314869. The next prime is 213864204314899. The reversal of 213864204314880 is 88413402468312.

213864204314880 is a `hidden beast` number, since 2 + 1 + 3 + 86 + 42 + 0 + 43 + 1 + 488 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 634611882072 + ... + 634611882408.

It is an arithmetic number, because the mean of its divisors is an integer number (272673360960).

Almost surely, 2^{213864204314880} is an apocalyptic number.

213864204314880 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 213864204314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471179567738880).

213864204314880 is an abundant number, since it is smaller than the sum of its proper divisors (728494931162880).

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

213864204314880 is a wasteful number, since it uses less digits than its factorization.

213864204314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 213864204314880 in words is "two hundred thirteen trillion, eight hundred sixty-four billion, two hundred four million, three hundred fourteen thousand, eight hundred eighty".