215289264960 has 1120 divisors, whose sum is σ = 960730087680. Its totient is φ = 44457984000.

The previous prime is 215289264923. The next prime is 215289264961. The reversal of 215289264960 is 69462982512.

215289264960 is a `hidden beast` number, since 2 + 1 + 52 + 89 + 26 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 = 215289264897 and 215289264906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215289264961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 536880760 + ... + 536881160.

Almost surely, 2^215289264960 is an apocalyptic number.

215289264960 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 215289264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480365043840).

215289264960 is an abundant number, since it is smaller than the sum of its proper divisors (745440822720).

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

215289264960 is a wasteful number, since it uses less digits than its factorization.

215289264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

It can be divided in two parts, 215289 and 264960, that added together give a square (480249 = 693²).

The spelling of 215289264960 in words is "two hundred fifteen billion, two hundred eighty-nine million, two hundred sixty-four thousand, nine hundred sixty".