48175849800 has 864 divisors, whose sum is σ = 186909465600. Its totient is φ = 11095418880.

The previous prime is 48175849781. The next prime is 48175849811. The reversal of 48175849800 is 894857184.

48175849800 is a `hidden beast` number, since 4 + 81 + 75 + 8 + 498 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 379337337 + ... + 379337463.

It is an arithmetic number, because the mean of its divisors is an integer number (216330400).

Almost surely, 2^48175849800 is an apocalyptic number.

48175849800 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 48175849800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93454732800).

48175849800 is an abundant number, since it is smaller than the sum of its proper divisors (138733615800).

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

48175849800 is a wasteful number, since it uses less digits than its factorization.

48175849800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 48175849800 in words is "forty-eight billion, one hundred seventy-five million, eight hundred forty-nine thousand, eight hundred".