5386872960 has 768 divisors, whose sum is σ = 23371545600. Its totient is φ = 1114767360.

The previous prime is 5386872937. The next prime is 5386872971. The reversal of 5386872960 is 692786835.

It is a happy number.

5386872960 is a `hidden beast` number, since 538 + 6 + 87 + 29 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5386872897 and 5386872906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19877625 + ... + 19877895.

It is an arithmetic number, because the mean of its divisors is an integer number (30431700).

Almost surely, 2^5386872960 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 5386872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11685772800).

5386872960 is an abundant number, since it is smaller than the sum of its proper divisors (17984672640).

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

5386872960 is a wasteful number, since it uses less digits than its factorization.

5386872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 5386872960 is about 73395.3197417928. The cubic root of 5386872960 is about 1752.9878709788.

The spelling of 5386872960 in words is "five billion, three hundred eighty-six million, eight hundred seventy-two thousand, nine hundred sixty".