215206564320 has 576 divisors, whose sum is σ = 845601120000. Its totient is φ = 49291960320.

The previous prime is 215206564297. The next prime is 215206564327. The reversal of 215206564320 is 23465602512.

215206564320 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 0 + 6 + 5 + 643 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215206564327) 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, 150178324 + ... + 150179756.

It is an arithmetic number, because the mean of its divisors is an integer number (1468057500).

Almost surely, 2^215206564320 is an apocalyptic number.

215206564320 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 215206564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422800560000).

215206564320 is an abundant number, since it is smaller than the sum of its proper divisors (630394555680).

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

215206564320 is a wasteful number, since it uses less digits than its factorization.

215206564320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 215206564320 in words is "two hundred fifteen billion, two hundred six million, five hundred sixty-four thousand, three hundred twenty".