48380371200 has 1728 divisors, whose sum is σ = 221905797120. Its totient is φ = 10072719360.

The previous prime is 48380371147. The next prime is 48380371201. The reversal of 48380371200 is 217308384.

48380371200 is a `hidden beast` number, since 4 + 8 + 3 + 80 + 371 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48380371201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1029369577 + ... + 1029369623.

Almost surely, 2^48380371200 is an apocalyptic number.

48380371200 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 48380371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110952898560).

48380371200 is an abundant number, since it is smaller than the sum of its proper divisors (173525425920).

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

48380371200 is a wasteful number, since it uses less digits than its factorization.

48380371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 48380371200 its reverse (217308384), we get a palindrome (48597679584).

The spelling of 48380371200 in words is "forty-eight billion, three hundred eighty million, three hundred seventy-one thousand, two hundred".