48580638054000 has 320 divisors, whose sum is σ = 168818577502848. Its totient is φ = 11947917312000.

The previous prime is 48580638053977. The next prime is 48580638054017. The reversal of 48580638054000 is 45083608584.

It is a happy number.

48580638054000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 89663910 + ... + 90204090.

Almost surely, 2^{48580638054000} is an apocalyptic number.

48580638054000 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 48580638054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84409288751424).

48580638054000 is an abundant number, since it is smaller than the sum of its proper divisors (120237939448848).

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

48580638054000 is a wasteful number, since it uses less digits than its factorization.

48580638054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541373 (or 541357 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 48580638054000 in words is "forty-eight trillion, five hundred eighty billion, six hundred thirty-eight million, fifty-four thousand".