215312240000 has 960 divisors, whose sum is σ = 667487898000. Its totient is φ = 68597760000.

The previous prime is 215312239993. The next prime is 215312240023. The reversal of 215312240000 is 42213512.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3649359971 + ... + 3649360029.

Almost surely, 2^215312240000 is an apocalyptic number.

215312240000 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 215312240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333743949000).

215312240000 is an abundant number, since it is smaller than the sum of its proper divisors (452175658000).

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

215312240000 is a wasteful number, since it uses less digits than its factorization.

215312240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 215312240000 its reverse (42213512), we get a palindrome (215354453512).

The spelling of 215312240000 in words is "two hundred fifteen billion, three hundred twelve million, two hundred forty thousand".