48636358800 has 240 divisors, whose sum is σ = 161285629440. Its totient is φ = 12515328000.

The previous prime is 48636358753. The next prime is 48636358819. The reversal of 48636358800 is 885363684.

48636358800 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 (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14469120 + ... + 14472480.

It is an arithmetic number, because the mean of its divisors is an integer number (672023456).

Almost surely, 2^48636358800 is an apocalyptic number.

48636358800 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 48636358800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80642814720).

48636358800 is an abundant number, since it is smaller than the sum of its proper divisors (112649270640).

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

48636358800 is a wasteful number, since it uses less digits than its factorization.

48636358800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 48636358800 in words is "forty-eight billion, six hundred thirty-six million, three hundred fifty-eight thousand, eight hundred".