213327928800 has 432 divisors, whose sum is σ = 897505524720. Its totient is φ = 48760427520.

The previous prime is 213327928777. The next prime is 213327928823. The reversal of 213327928800 is 8829723312.

It is an interprime number because it is at equal distance from previous prime (213327928777) and next prime (213327928823).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957622 + ... + 1159178.

It is an arithmetic number, because the mean of its divisors is an integer number (2077559085).

Almost surely, 2^213327928800 is an apocalyptic number.

213327928800 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 213327928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448752762360).

213327928800 is an abundant number, since it is smaller than the sum of its proper divisors (684177595920).

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

213327928800 is a wasteful number, since it uses less digits than its factorization.

213327928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201600 (or 201574 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 213327928800 in words is "two hundred thirteen billion, three hundred twenty-seven million, nine hundred twenty-eight thousand, eight hundred".