215352560016 has 480 divisors, whose sum is σ = 735555600000. Its totient is φ = 57967902720.

The previous prime is 215352559957. The next prime is 215352560029. The reversal of 215352560016 is 610065253512.

215352560016 is a `hidden beast` number, since 2 + 1 + 5 + 35 + 2 + 5 + 600 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172419360 + ... + 172420608.

It is an arithmetic number, because the mean of its divisors is an integer number (1532407500).

Almost surely, 2^215352560016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215352560016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367777800000).

215352560016 is an abundant number, since it is smaller than the sum of its proper divisors (520203039984).

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

215352560016 is a wasteful number, since it uses less digits than its factorization.

215352560016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 215352560016 in words is "two hundred fifteen billion, three hundred fifty-two million, five hundred sixty thousand, sixteen".