48173875200 has 918 divisors, whose sum is σ = 196707686812. Its totient is φ = 11678515200.

The previous prime is 48173875187. The next prime is 48173875201. The reversal of 48173875200 is 257837184.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

48173875200 is a `hidden beast` number, since 48 + 1 + 7 + 3 + 87 + 520 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48173875201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4379443195 + ... + 4379443205.

Almost surely, 2^48173875200 is an apocalyptic number.

48173875200 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 48173875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98353843406).

48173875200 is an abundant number, since it is smaller than the sum of its proper divisors (148533811612).

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

48173875200 is an frugal number, since it uses more digits than its factorization.

48173875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 48173875200 in words is "forty-eight billion, one hundred seventy-three million, eight hundred seventy-five thousand, two hundred".