48586457088 has 768 divisors, whose sum is σ = 171754128000. Its totient is φ = 13079937024.

The previous prime is 48586457071. The next prime is 48586457141. The reversal of 48586457088 is 88075468584.

48586457088 is a `hidden beast` number, since 4 + 8 + 58 + 6 + 4 + 570 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1675395058 + ... + 1675395086.

Almost surely, 2^48586457088 is an apocalyptic number.

48586457088 is a gapful number since it is divisible by the number (48) 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 48586457088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85877064000).

48586457088 is an abundant number, since it is smaller than the sum of its proper divisors (123167670912).

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

48586457088 is a wasteful number, since it uses less digits than its factorization.

48586457088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 48586457088 in words is "forty-eight billion, five hundred eighty-six million, four hundred fifty-seven thousand, eighty-eight".