48808645200 has 720 divisors, whose sum is σ = 203770440000. Its totient is φ = 11063485440.

The previous prime is 48808645189. The next prime is 48808645217. The reversal of 48808645200 is 254680884.

48808645200 is a `hidden beast` number, since 48 + 8 + 0 + 86 + 4 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 78850491 + ... + 78851109.

It is an arithmetic number, because the mean of its divisors is an integer number (283014500).

Almost surely, 2^48808645200 is an apocalyptic number.

48808645200 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 48808645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101885220000).

48808645200 is an abundant number, since it is smaller than the sum of its proper divisors (154961794800).

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

48808645200 is a wasteful number, since it uses less digits than its factorization.

48808645200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 48808645200 in words is "forty-eight billion, eight hundred eight million, six hundred forty-five thousand, two hundred".