215852768352 has 240 divisors, whose sum is σ = 684192180672. Its totient is φ = 66363494400.

The previous prime is 215852768309. The next prime is 215852768357. The reversal of 215852768352 is 253867258512.

It is a happy number.

215852768352 is a `hidden beast` number, since 2 + 1 + 5 + 8 + 527 + 68 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215852768357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77061352 + ... + 77064152.

Almost surely, 2^215852768352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215852768352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342096090336).

215852768352 is an abundant number, since it is smaller than the sum of its proper divisors (468339412320).

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

215852768352 is a wasteful number, since it uses less digits than its factorization.

215852768352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123 (or 5106 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 215852768352 in words is "two hundred fifteen billion, eight hundred fifty-two million, seven hundred sixty-eight thousand, three hundred fifty-two".