5935628160 has 640 divisors, whose sum is σ = 26445450240. Its totient is φ = 1232547840.

The previous prime is 5935628159. The next prime is 5935628201. The reversal of 5935628160 is 618265395.

5935628160 is a `hidden beast` number, since 5 + 9 + 3 + 5 + 628 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×5935628160³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3990937 + ... + 3992423.

It is an arithmetic number, because the mean of its divisors is an integer number (41321016).

Almost surely, 2^5935628160 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 5935628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13222725120).

5935628160 is an abundant number, since it is smaller than the sum of its proper divisors (20509822080).

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

5935628160 is a wasteful number, since it uses less digits than its factorization.

5935628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1515 counting only the distinct ones).

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

The square root of 5935628160 is about 77043.0279778774. The cubic root of 5935628160 is about 1810.5988027206.

The spelling of 5935628160 in words is "five billion, nine hundred thirty-five million, six hundred twenty-eight thousand, one hundred sixty".