5215605408 has 288 divisors, whose sum is σ = 16660464912. Its totient is φ = 1537228800.

The previous prime is 5215605403. The next prime is 5215605443. The reversal of 5215605408 is 8045065125.

5215605408 is a `hidden beast` number, since 5 + 2 + 1 + 5 + 605 + 40 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 285880464 + 4929724944 = 16908^2 + 70212^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (5215605403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9363466 + ... + 9364022.

Almost surely, 2^5215605408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5215605408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8330232456).

5215605408 is an abundant number, since it is smaller than the sum of its proper divisors (11444859504).

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

5215605408 is a wasteful number, since it uses less digits than its factorization.

5215605408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5215605408 is about 72219.1484857029. The cubic root of 5215605408 is about 1734.2095586900.

The spelling of 5215605408 in words is "five billion, two hundred fifteen million, six hundred five thousand, four hundred eight".