215259920064 has 224 divisors, whose sum is σ = 725387586560. Its totient is φ = 61319172096.

The previous prime is 215259920033. The next prime is 215259920069. The reversal of 215259920064 is 460029952512.

215259920064 is a `hidden beast` number, since 2 + 1 + 52 + 599 + 2 + 0 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (215259920069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4049949 + ... + 4102755.

It is an arithmetic number, because the mean of its divisors is an integer number (3238337440).

Almost surely, 2^215259920064 is an apocalyptic number.

215259920064 is a gapful number since it is divisible by the number (24) 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 215259920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362693793280).

215259920064 is an abundant number, since it is smaller than the sum of its proper divisors (510127666496).

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

215259920064 is a wasteful number, since it uses less digits than its factorization.

215259920064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53172 (or 53156 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 215259920064 in words is "two hundred fifteen billion, two hundred fifty-nine million, nine hundred twenty thousand, sixty-four".