48635458560 has 1056 divisors, whose sum is σ = 196279329792. Its totient is φ = 11466178560.

The previous prime is 48635458549. The next prime is 48635458567. The reversal of 48635458560 is 6585453684.

48635458560 is a `hidden beast` number, since 4 + 8 + 6 + 3 + 54 + 585 + 6 + 0 = 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 = 48635458497 and 48635458506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48635458567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 501396432 + ... + 501396528.

Almost surely, 2^48635458560 is an apocalyptic number.

48635458560 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 48635458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98139664896).

48635458560 is an abundant number, since it is smaller than the sum of its proper divisors (147643871232).

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

48635458560 is a wasteful number, since it uses less digits than its factorization.

48635458560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 48635458560 in words is "forty-eight billion, six hundred thirty-five million, four hundred fifty-eight thousand, five hundred sixty".