215965828260 has 1536 divisors, whose sum is σ = 926650368000. Its totient is φ = 40466055168.

The previous prime is 215965828231. The next prime is 215965828321. The reversal of 215965828260 is 62828569512.

215965828260 is a `hidden beast` number, since 2 + 1 + 59 + 6 + 582 + 8 + 2 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 215965828197 and 215965828206.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1911201964 + ... + 1911202076.

It is an arithmetic number, because the mean of its divisors is an integer number (603288000).

Almost surely, 2^215965828260 is an apocalyptic number.

215965828260 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 215965828260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463325184000).

215965828260 is an abundant number, since it is smaller than the sum of its proper divisors (710684539740).

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

215965828260 is a wasteful number, since it uses less digits than its factorization.

215965828260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 215965828260 in words is "two hundred fifteen billion, nine hundred sixty-five million, eight hundred twenty-eight thousand, two hundred sixty".