48075068160 has 540 divisors, whose sum is σ = 200127655728. Its totient is φ = 10987425792.

The previous prime is 48075068149. The next prime is 48075068161. The reversal of 48075068160 is 6186057084.

It is a happy number.

48075068160 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 506 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-3 number, since 3×48075068160³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (48075068161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5075589 + ... + 5085051.

Almost surely, 2^48075068160 is an apocalyptic number.

48075068160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48075068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100063827864).

48075068160 is an abundant number, since it is smaller than the sum of its proper divisors (152052587568).

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

48075068160 is an equidigital number, since it uses as much as digits as its factorization.

48075068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9510 (or 9480 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 48075068160 in words is "forty-eight billion, seventy-five million, sixty-eight thousand, one hundred sixty".