215233315445200 has 240 divisors, whose sum is σ = 562692213893376. Its totient is φ = 78641420544000.

The previous prime is 215233315445149. The next prime is 215233315445201. The reversal of 215233315445200 is 2544513332512.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215233315445201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 980438649 + ... + 980658151.

Almost surely, 2^{215233315445200} is an apocalyptic number.

215233315445200 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 215233315445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281346106946688).

215233315445200 is an abundant number, since it is smaller than the sum of its proper divisors (347458898448176).

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

215233315445200 is a wasteful number, since it uses less digits than its factorization.

215233315445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221502 (or 221491 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 215233315445200 its reverse (2544513332512), we get a palindrome (217777828777712).

The spelling of 215233315445200 in words is "two hundred fifteen trillion, two hundred thirty-three billion, three hundred fifteen million, four hundred forty-five thousand, two hundred".