48241560960 has 512 divisors, whose sum is σ = 182878819200. Its totient is φ = 11975786496.

The previous prime is 48241560959. The next prime is 48241560967. The reversal of 48241560960 is 6906514284.

48241560960 is a `hidden beast` number, since 4 + 8 + 24 + 1 + 560 + 9 + 60 = 666.

It is a super-2 number, since 2×48241560960² (a number of 22 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (48241560967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28493874 + ... + 28495566.

Almost surely, 2^48241560960 is an apocalyptic number.

48241560960 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 48241560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91439409600).

48241560960 is an abundant number, since it is smaller than the sum of its proper divisors (134637258240).

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

48241560960 is a wasteful number, since it uses less digits than its factorization.

48241560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 48241560960 in words is "forty-eight billion, two hundred forty-one million, five hundred sixty thousand, nine hundred sixty".