48408595200 has 1296 divisors, whose sum is σ = 213511334400. Its totient is φ = 10218700800.

The previous prime is 48408595199. The next prime is 48408595211. The reversal of 48408595200 is 259580484.

48408595200 is a `hidden beast` number, since 4 + 8 + 40 + 85 + 9 + 520 + 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 543916756 + ... + 543916844.

It is an arithmetic number, because the mean of its divisors is an integer number (164746400).

Almost surely, 2^48408595200 is an apocalyptic number.

48408595200 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 48408595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106755667200).

48408595200 is an abundant number, since it is smaller than the sum of its proper divisors (165102739200).

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

48408595200 is a wasteful number, since it uses less digits than its factorization.

48408595200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 48408595200 in words is "forty-eight billion, four hundred eight million, five hundred ninety-five thousand, two hundred".