215327515947040 has 576 divisors, whose sum is σ = 599182718238720. Its totient is φ = 72909116528640.

The previous prime is 215327515946953. The next prime is 215327515947053. The reversal of 215327515947040 is 40749515723512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141383791719 + ... + 141383793241.

It is an arithmetic number, because the mean of its divisors is an integer number (1040247774720).

Almost surely, 2^{215327515947040} is an apocalyptic number.

215327515947040 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 215327515947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299591359119360).

215327515947040 is an abundant number, since it is smaller than the sum of its proper divisors (383855202291680).

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

215327515947040 is a wasteful number, since it uses less digits than its factorization.

215327515947040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 55.

The spelling of 215327515947040 in words is "two hundred fifteen trillion, three hundred twenty-seven billion, five hundred fifteen million, nine hundred forty-seven thousand, forty".