48880584257 has 16 divisors (see below), whose sum is σ = 50459688960. Its totient is φ = 47326638528.

The previous prime is 48880584191. The next prime is 48880584283. The reversal of 48880584257 is 75248508884.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 48880584257 - 2²⁰ = 48879535681 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 48880584196 and 48880584205.

It is not an unprimeable number, because it can be changed into a prime (48880584157) 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 15 ways as a sum of consecutive naturals, for example, 1675328 + ... + 1704254.

It is an arithmetic number, because the mean of its divisors is an integer number (3153730560).

Almost surely, 2^48880584257 is an apocalyptic number.

48880584257 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

48880584257 is a deficient number, since it is larger than the sum of its proper divisors (1579104703).

48880584257 is a wasteful number, since it uses less digits than its factorization.

48880584257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29360.

The product of its (nonzero) digits is 22937600, while the sum is 59.

The spelling of 48880584257 in words is "forty-eight billion, eight hundred eighty million, five hundred eighty-four thousand, two hundred fifty-seven".