48752585856000 has 1760 divisors, whose sum is σ = 207185404057632. Its totient is φ = 11294185881600.

The previous prime is 48752585855969. The next prime is 48752585856047. The reversal of 48752585856000 is 65858525784.

It is a happy number.

48752585856000 is a `hidden beast` number, since 4 + 8 + 7 + 525 + 8 + 58 + 56 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 45907237638144 + 2845348217856 = 6775488^2 + 1686816^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2291317362 + ... + 2291338638.

Almost surely, 2^{48752585856000} is an apocalyptic number.

48752585856000 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 48752585856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103592702028816).

48752585856000 is an abundant number, since it is smaller than the sum of its proper divisors (158432818201632).

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

48752585856000 is a wasteful number, since it uses less digits than its factorization.

48752585856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21354 (or 21317 counting only the distinct ones).

The product of its (nonzero) digits is 107520000, while the sum is 63.

The spelling of 48752585856000 in words is "forty-eight trillion, seven hundred fifty-two billion, five hundred eighty-five million, eight hundred fifty-six thousand".