5538960960 has 448 divisors, whose sum is σ = 19881738240. Its totient is φ = 1297244160.

The previous prime is 5538960949. The next prime is 5538960967. The reversal of 5538960960 is 690698355.

It is not an unprimeable number, because it can be changed into a prime (5538960967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39848571 + ... + 39848709.

It is an arithmetic number, because the mean of its divisors is an integer number (44378880).

Almost surely, 2^5538960960 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 5538960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9940869120).

5538960960 is an abundant number, since it is smaller than the sum of its proper divisors (14342777280).

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

5538960960 is a wasteful number, since it uses less digits than its factorization.

5538960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The square root of 5538960960 is about 74424.1960655270. The cubic root of 5538960960 is about 1769.3324176546.

The spelling of 5538960960 in words is "five billion, five hundred thirty-eight million, nine hundred sixty thousand, nine hundred sixty".