48581690976000 has 4608 divisors, whose sum is σ = 246075256627200. Its totient is φ = 9134722252800.

The previous prime is 48581690975947. The next prime is 48581690976031. The reversal of 48581690976000 is 67909618584.

48581690976000 is a `hidden beast` number, since 4 + 8 + 5 + 8 + 16 + 9 + 0 + 9 + 7 + 600 + 0 = 666.

48581690976000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 25395551044 + ... + 25395552956.

It is an arithmetic number, because the mean of its divisors is an integer number (53401748400).

Almost surely, 2^{48581690976000} is an apocalyptic number.

48581690976000 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 48581690976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123037628313600).

48581690976000 is an abundant number, since it is smaller than the sum of its proper divisors (197493565651200).

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

48581690976000 is a wasteful number, since it uses less digits than its factorization.

48581690976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 48581690976000 in words is "forty-eight trillion, five hundred eighty-one billion, six hundred ninety million, nine hundred seventy-six thousand".