5438568960 has 640 divisors, whose sum is σ = 22061445120. Its totient is φ = 1257062400.

The previous prime is 5438568959. The next prime is 5438568997. The reversal of 5438568960 is 698658345.

It is a happy number.

5438568960 is a `hidden beast` number, since 543 + 8 + 5 + 6 + 8 + 96 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5438568897 and 5438568906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17487205 + ... + 17487515.

It is an arithmetic number, because the mean of its divisors is an integer number (34471008).

Almost surely, 2^5438568960 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 5438568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11030722560).

5438568960 is an abundant number, since it is smaller than the sum of its proper divisors (16622876160).

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

5438568960 is a wasteful number, since it uses less digits than its factorization.

5438568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 5438568960 is about 73746.6538901936. The cubic root of 5438568960 is about 1758.5776386932.

The spelling of 5438568960 in words is "five billion, four hundred thirty-eight million, five hundred sixty-eight thousand, nine hundred sixty".