213367598400 has 672 divisors, whose sum is σ = 851208376320. Its totient is φ = 46116864000.

The previous prime is 213367598393. The next prime is 213367598443. The reversal of 213367598400 is 4895763312.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 213367598400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17048145 + ... + 17060655.

It is a 2-persistent number, because it is pandigital, and so is 2⋅213367598400 = 426735196800, but 3⋅213367598400 = 640102795200 is not.

Almost surely, 2^213367598400 is an apocalyptic number.

213367598400 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 213367598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425604188160).

213367598400 is an abundant number, since it is smaller than the sum of its proper divisors (637840777920).

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

213367598400 is a wasteful number, since it uses less digits than its factorization.

213367598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12583 (or 12568 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 213367598400 in words is "two hundred thirteen billion, three hundred sixty-seven million, five hundred ninety-eight thousand, four hundred".