48576777767584 has 48 divisors (see below), whose sum is σ = 104444698319136. Its totient is φ = 22056009004800.

The previous prime is 48576777767447. The next prime is 48576777767629.

48576777767584 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (88).

It is a junction number, because it is equal to n+sod(n) for n = 48576777767495 and 48576777767504.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 75756927 + ... + 76395454.

It is an arithmetic number, because the mean of its divisors is an integer number (2175931214982).

Almost surely, 2^{48576777767584} is an apocalyptic number.

48576777767584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48576777767584 is an abundant number, since it is smaller than the sum of its proper divisors (55867920551552).

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

48576777767584 is a wasteful number, since it uses less digits than its factorization.

48576777767584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152153309 (or 152153301 counting only the distinct ones).

The product of its digits is 108425318400, while the sum is 88.

The spelling of 48576777767584 in words is "forty-eight trillion, five hundred seventy-six billion, seven hundred seventy-seven million, seven hundred sixty-seven thousand, five hundred eighty-four".