215212153200 has 240 divisors, whose sum is σ = 756015040512. Its totient is φ = 51898880000.

The previous prime is 215212153193. The next prime is 215212153207. The reversal of 215212153200 is 2351212512.

It is an interprime number because it is at equal distance from previous prime (215212153193) and next prime (215212153207).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215212153207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2478520 + ... + 2563880.

Almost surely, 2^215212153200 is an apocalyptic number.

215212153200 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 215212153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378007520256).

215212153200 is an abundant number, since it is smaller than the sum of its proper divisors (540802887312).

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

215212153200 is a wasteful number, since it uses less digits than its factorization.

215212153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85584 (or 85573 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 215212153200 its reverse (2351212512), we get a palindrome (217563365712).

The spelling of 215212153200 in words is "two hundred fifteen billion, two hundred twelve million, one hundred fifty-three thousand, two hundred".