215201935872 has 480 divisors, whose sum is σ = 776333061504. Its totient is φ = 55753113600.

The previous prime is 215201935843. The next prime is 215201935891. The reversal of 215201935872 is 278539102512.

215201935872 is a `hidden beast` number, since 2 + 1 + 52 + 0 + 19 + 3 + 587 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 270014578 + ... + 270015374.

Almost surely, 2^215201935872 is an apocalyptic number.

215201935872 is a gapful number since it is divisible by the number (22) 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 215201935872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388166530752).

215201935872 is an abundant number, since it is smaller than the sum of its proper divisors (561131125632).

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

215201935872 is a wasteful number, since it uses less digits than its factorization.

215201935872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 215201935872 in words is "two hundred fifteen billion, two hundred one million, nine hundred thirty-five thousand, eight hundred seventy-two".