213515030400 has 768 divisors, whose sum is σ = 834363264000. Its totient is φ = 47958220800.

The previous prime is 213515030383. The next prime is 213515030447. The reversal of 213515030400 is 4030515312.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 200860269 + ... + 200861331.

It is an arithmetic number, because the mean of its divisors is an integer number (1086410500).

Almost surely, 2^213515030400 is an apocalyptic number.

213515030400 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 213515030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417181632000).

213515030400 is an abundant number, since it is smaller than the sum of its proper divisors (620848233600).

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

213515030400 is a wasteful number, since it uses less digits than its factorization.

213515030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 213515030400 its reverse (4030515312), we get a palindrome (217545545712).

The spelling of 213515030400 in words is "two hundred thirteen billion, five hundred fifteen million, thirty thousand, four hundred".