48132431200 has 288 divisors, whose sum is σ = 140675996160. Its totient is φ = 15723417600.

The previous prime is 48132431183. The next prime is 48132431213. The reversal of 48132431200 is 213423184.

48132431200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42632236 + ... + 42633364.

It is an arithmetic number, because the mean of its divisors is an integer number (488458320).

Almost surely, 2^48132431200 is an apocalyptic number.

48132431200 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 48132431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70337998080).

48132431200 is an abundant number, since it is smaller than the sum of its proper divisors (92543564960).

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

48132431200 is a wasteful number, since it uses less digits than its factorization.

48132431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 48132431200 its reverse (213423184), we get a palindrome (48345854384).

The spelling of 48132431200 in words is "forty-eight billion, one hundred thirty-two million, four hundred thirty-one thousand, two hundred".