215880643440 has 960 divisors, whose sum is σ = 933076564992. Its totient is φ = 43429478400.

The previous prime is 215880643421. The next prime is 215880643481. The reversal of 215880643440 is 44346088512.

215880643440 is a `hidden beast` number, since 2 + 1 + 588 + 0 + 64 + 3 + 4 + 4 + 0 = 666.

215880643440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 326596710 + ... + 326597370.

Almost surely, 2^215880643440 is an apocalyptic number.

215880643440 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 215880643440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466538282496).

215880643440 is an abundant number, since it is smaller than the sum of its proper divisors (717195921552).

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

215880643440 is a wasteful number, since it uses less digits than its factorization.

215880643440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 215880643440 in words is "two hundred fifteen billion, eight hundred eighty million, six hundred forty-three thousand, four hundred forty".