215915064480 has 576 divisors, whose sum is σ = 792529920000. Its totient is φ = 55453455360.

The previous prime is 215915064451. The next prime is 215915064487. The reversal of 215915064480 is 84460519512.

215915064480 is a `hidden beast` number, since 2 + 1 + 59 + 150 + 6 + 448 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (215915064487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 432695271 + ... + 432695769.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920000).

Almost surely, 2^215915064480 is an apocalyptic number.

215915064480 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 215915064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960000).

215915064480 is an abundant number, since it is smaller than the sum of its proper divisors (576614855520).

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

215915064480 is a wasteful number, since it uses less digits than its factorization.

215915064480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 215915064480 in words is "two hundred fifteen billion, nine hundred fifteen million, sixty-four thousand, four hundred eighty".