48508758604800 has 1584 divisors, whose sum is σ = 189707101697568. Its totient is φ = 11771943321600.

The previous prime is 48508758604769. The next prime is 48508758604829. The reversal of 48508758604800 is 840685780584.

48508758604800 is a `hidden beast` number, since 4 + 8 + 5 + 0 + 8 + 7 + 586 + 0 + 48 + 0 + 0 = 666.

It is a super-2 number, since 2×48508758604800² (a number of 28 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 112029465384 + ... + 112029465816.

Almost surely, 2^{48508758604800} is an apocalyptic number.

48508758604800 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 48508758604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94853550848784).

48508758604800 is an abundant number, since it is smaller than the sum of its proper divisors (141198343092768).

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

48508758604800 is a wasteful number, since it uses less digits than its factorization.

48508758604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 900 counting only the distinct ones).

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

The spelling of 48508758604800 in words is "forty-eight trillion, five hundred eight billion, seven hundred fifty-eight million, six hundred four thousand, eight hundred".