48635008478400 has 672 divisors, whose sum is σ = 166266285419520. Its totient is φ = 12436162744320.

The previous prime is 48635008478387. The next prime is 48635008478401. The reversal of 48635008478400 is 487480053684.

48635008478400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48635008478401) 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 95 ways as a sum of consecutive naturals, for example, 10752818539 + ... + 10752823061.

Almost surely, 2^{48635008478400} is an apocalyptic number.

48635008478400 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 48635008478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83133142709760).

48635008478400 is an abundant number, since it is smaller than the sum of its proper divisors (117631276941120).

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

48635008478400 is a wasteful number, since it uses less digits than its factorization.

48635008478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533 (or 5518 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 57.

The spelling of 48635008478400 in words is "forty-eight trillion, six hundred thirty-five billion, eight million, four hundred seventy-eight thousand, four hundred".