48063656782800 has 1200 divisors, whose sum is σ = 184534173914112. Its totient is φ = 11938793472000.

The previous prime is 48063656782787. The next prime is 48063656782807. The reversal of 48063656782800 is 828765636084.

48063656782800 is a `hidden beast` number, since 4 + 8 + 0 + 63 + 6 + 567 + 8 + 2 + 8 + 0 + 0 = 666.

48063656782800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×48063656782800³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48063656782807) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 26365142689 + ... + 26365144511.

Almost surely, 2^{48063656782800} is an apocalyptic number.

48063656782800 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 48063656782800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92267086957056).

48063656782800 is an abundant number, since it is smaller than the sum of its proper divisors (136470517131312).

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

48063656782800 is a wasteful number, since it uses less digits than its factorization.

48063656782800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 48063656782800 in words is "forty-eight trillion, sixty-three billion, six hundred fifty-six million, seven hundred eighty-two thousand, eight hundred".