48557076480 has 624 divisors, whose sum is σ = 190626718464. Its totient is φ = 11758141440.

The previous prime is 48557076461. The next prime is 48557076487. The reversal of 48557076480 is 8467075584.

48557076480 is a `hidden beast` number, since 4 + 8 + 5 + 570 + 7 + 64 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48557076487) 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 47 ways as a sum of consecutive naturals, for example, 54742597 + ... + 54743483.

It is an arithmetic number, because the mean of its divisors is an integer number (305491536).

Almost surely, 2^48557076480 is an apocalyptic number.

48557076480 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 48557076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95313359232).

48557076480 is an abundant number, since it is smaller than the sum of its proper divisors (142069641984).

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

48557076480 is an equidigital number, since it uses as much as digits as its factorization.

48557076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 48557076480 in words is "forty-eight billion, five hundred fifty-seven million, seventy-six thousand, four hundred eighty".