48889518564960 has 144 divisors (see below), whose sum is σ = 167570441294256. Its totient is φ = 12979772242944.

The previous prime is 48889518564947. The next prime is 48889518564983. The reversal of 48889518564960 is 6946581598884.

48889518564960 is a `hidden beast` number, since 4 + 8 + 8 + 8 + 9 + 518 + 5 + 6 + 4 + 96 + 0 = 666.

48889518564960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 48889518564960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74455179 + ... + 75108938.

It is an arithmetic number, because the mean of its divisors is an integer number (1163683620099).

Almost surely, 2^{48889518564960} is an apocalyptic number.

48889518564960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48889518564960 is an abundant number, since it is smaller than the sum of its proper divisors (118680922729296).

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

48889518564960 is a wasteful number, since it uses less digits than its factorization.

48889518564960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149564365 (or 149564354 counting only the distinct ones).

The product of its (nonzero) digits is 4777574400, while the sum is 81.

The spelling of 48889518564960 in words is "forty-eight trillion, eight hundred eighty-nine billion, five hundred eighteen million, five hundred sixty-four thousand, nine hundred sixty".