213400888320 has 352 divisors, whose sum is σ = 700540912512. Its totient is φ = 55426940928.

The previous prime is 213400888289. The next prime is 213400888321. The reversal of 213400888320 is 23888004312.

It is a super-2 number, since 2×213400888320² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213400888321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93065094 + ... + 93067386.

Almost surely, 2^213400888320 is an apocalyptic number.

213400888320 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 213400888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350270456256).

213400888320 is an abundant number, since it is smaller than the sum of its proper divisors (487140024192).

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

213400888320 is a wasteful number, since it uses less digits than its factorization.

213400888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 213400888320 in words is "two hundred thirteen billion, four hundred million, eight hundred eighty-eight thousand, three hundred twenty".