48586355608320 has 1152 divisors, whose sum is σ = 182667511756800. Its totient is φ = 12356598988800.

The previous prime is 48586355608313. The next prime is 48586355608403. The reversal of 48586355608320 is 2380655368584.

48586355608320 is a `hidden beast` number, since 4 + 8 + 5 + 8 + 6 + 35 + 560 + 8 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26977431420 + ... + 26977433220.

It is an arithmetic number, because the mean of its divisors is an integer number (158565548400).

Almost surely, 2^{48586355608320} is an apocalyptic number.

48586355608320 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 48586355608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91333755878400).

48586355608320 is an abundant number, since it is smaller than the sum of its proper divisors (134081156148480).

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

48586355608320 is an equidigital number, since it uses as much as digits as its factorization.

48586355608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 48586355608320 in words is "forty-eight trillion, five hundred eighty-six billion, three hundred fifty-five million, six hundred eight thousand, three hundred twenty".