215352428578560 has 1728 divisors, whose sum is σ = 1001062457041920. Its totient is φ = 43045467586560.

The previous prime is 215352428578517. The next prime is 215352428578597. The reversal of 215352428578560 is 65875824253512.

215352428578560 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 5 + 2 + 4 + 2 + 8 + 578 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 537587940 + ... + 537988380.

Almost surely, 2^{215352428578560} is an apocalyptic number.

215352428578560 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 215352428578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500531228520960).

215352428578560 is an abundant number, since it is smaller than the sum of its proper divisors (785710028463360).

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

215352428578560 is a wasteful number, since it uses less digits than its factorization.

215352428578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400516 (or 400490 counting only the distinct ones).

The product of its (nonzero) digits is 161280000, while the sum is 63.

The spelling of 215352428578560 in words is "two hundred fifteen trillion, three hundred fifty-two billion, four hundred twenty-eight million, five hundred seventy-eight thousand, five hundred sixty".