215282798852352 has 2304 divisors, whose sum is σ = 792513384284160. Its totient is φ = 50199367680000.

The previous prime is 215282798852249. The next prime is 215282798852411. The reversal of 215282798852352 is 253258897282512.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 650401204827 + ... + 650401205157.

It is an arithmetic number, because the mean of its divisors is an integer number (343972823040).

Almost surely, 2^{215282798852352} is an apocalyptic number.

215282798852352 is a gapful number since it is divisible by the number (22) 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 215282798852352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396256692142080).

215282798852352 is an abundant number, since it is smaller than the sum of its proper divisors (577230585431808).

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

215282798852352 is a wasteful number, since it uses less digits than its factorization.

215282798852352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 738 counting only the distinct ones).

The product of its digits is 387072000, while the sum is 69.

The spelling of 215282798852352 in words is "two hundred fifteen trillion, two hundred eighty-two billion, seven hundred ninety-eight million, eight hundred fifty-two thousand, three hundred fifty-two".