48479506560 has 512 divisors, whose sum is σ = 184187520000. Its totient is φ = 12007636992.

The previous prime is 48479506553. The next prime is 48479506583. The reversal of 48479506560 is 6560597484.

48479506560 is a `hidden beast` number, since 4 + 8 + 4 + 79 + 5 + 0 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48479506497 and 48479506506.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23205996 + ... + 23208084.

It is an arithmetic number, because the mean of its divisors is an integer number (359741250).

Almost surely, 2^48479506560 is an apocalyptic number.

48479506560 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 48479506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92093760000).

48479506560 is an abundant number, since it is smaller than the sum of its proper divisors (135708013440).

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

48479506560 is a wasteful number, since it uses less digits than its factorization.

48479506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 48479506560 in words is "forty-eight billion, four hundred seventy-nine million, five hundred six thousand, five hundred sixty".