48538400000 has 432 divisors, whose sum is σ = 132787626048. Its totient is φ = 17633280000.

The previous prime is 48538399981. The next prime is 48538400011. The reversal of 48538400000 is 483584.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 48538400000.

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, 584799959 + ... + 584800041.

It is an arithmetic number, because the mean of its divisors is an integer number (307378764).

Almost surely, 2^48538400000 is an apocalyptic number.

48538400000 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 48538400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66393813024).

48538400000 is an abundant number, since it is smaller than the sum of its proper divisors (84249226048).

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

48538400000 is an frugal number, since it uses more digits than its factorization.

48538400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 48538400000 its reverse (483584), we get a palindrome (48538883584).

The spelling of 48538400000 in words is "forty-eight billion, five hundred thirty-eight million, four hundred thousand".