48257458560 has 256 divisors, whose sum is σ = 179908416000. Its totient is φ = 12191275008.

The previous prime is 48257458549. The next prime is 48257458567. The reversal of 48257458560 is 6585475284.

48257458560 is a `hidden beast` number, since 4 + 8 + 2 + 5 + 74 + 5 + 8 + 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 = 48257458497 and 48257458506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48257458567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254829 + ... + 401811.

It is an arithmetic number, because the mean of its divisors is an integer number (702767250).

Almost surely, 2^48257458560 is an apocalyptic number.

48257458560 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 48257458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89954208000).

48257458560 is an abundant number, since it is smaller than the sum of its proper divisors (131650957440).

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

48257458560 is a wasteful number, since it uses less digits than its factorization.

48257458560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147030 (or 147012 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 48257458560 in words is "forty-eight billion, two hundred fifty-seven million, four hundred fifty-eight thousand, five hundred sixty".