48327806822400 has 2880 divisors, whose sum is σ = 214040140554240. Its totient is φ = 10544902963200.

The previous prime is 48327806822387. The next prime is 48327806822401. The reversal of 48327806822400 is 422860872384.

48327806822400 is a `hidden beast` number, since 4 + 83 + 2 + 7 + 80 + 6 + 82 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48327806822401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 74695218877 + ... + 74695219523.

It is an arithmetic number, because the mean of its divisors is an integer number (74319493248).

Almost surely, 2^{48327806822400} is an apocalyptic number.

48327806822400 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 48327806822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107020070277120).

48327806822400 is an abundant number, since it is smaller than the sum of its proper divisors (165712333731840).

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

48327806822400 is a wasteful number, since it uses less digits than its factorization.

48327806822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 48327806822400 in words is "forty-eight trillion, three hundred twenty-seven billion, eight hundred six million, eight hundred twenty-two thousand, four hundred".