48256387200 has 768 divisors, whose sum is σ = 204786297600. Its totient is φ = 10868981760.

The previous prime is 48256387189. The next prime is 48256387219. The reversal of 48256387200 is 278365284.

48256387200 is a `hidden beast` number, since 4 + 8 + 2 + 5 + 638 + 7 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44149854 + ... + 44150946.

It is an arithmetic number, because the mean of its divisors is an integer number (266648825).

Almost surely, 2^48256387200 is an apocalyptic number.

48256387200 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 48256387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102393148800).

48256387200 is an abundant number, since it is smaller than the sum of its proper divisors (156529910400).

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

48256387200 is a wasteful number, since it uses less digits than its factorization.

48256387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 48256387200 in words is "forty-eight billion, two hundred fifty-six million, three hundred eighty-seven thousand, two hundred".