215450914842240 has 3072 divisors, whose sum is σ = 940399590113280. Its totient is φ = 41404472524800.

The previous prime is 215450914842239. The next prime is 215450914842253. The reversal of 215450914842240 is 42248419054512.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 64836265219 + ... + 64836268541.

It is an arithmetic number, because the mean of its divisors is an integer number (306119658240).

Almost surely, 2^{215450914842240} is an apocalyptic number.

215450914842240 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 215450914842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470199795056640).

215450914842240 is an abundant number, since it is smaller than the sum of its proper divisors (724948675271040).

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

215450914842240 is a wasteful number, since it uses less digits than its factorization.

215450914842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 215450914842240 in words is "two hundred fifteen trillion, four hundred fifty billion, nine hundred fourteen million, eight hundred forty-two thousand, two hundred forty".