213535052400 has 60 divisors (see below), whose sum is σ = 684023955032. Its totient is φ = 56942680320.

The previous prime is 213535052351. The next prime is 213535052417. The reversal of 213535052400 is 4250535312.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88971739 + ... + 88974138.

Almost surely, 2^213535052400 is an apocalyptic number.

213535052400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213535052400 is an abundant number, since it is smaller than the sum of its proper divisors (470488902632).

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

213535052400 is a wasteful number, since it uses less digits than its factorization.

213535052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177945898 (or 177945887 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 213535052400 its reverse (4250535312), we get a palindrome (217785587712).

The spelling of 213535052400 in words is "two hundred thirteen billion, five hundred thirty-five million, fifty-two thousand, four hundred".