48738040800 has 144 divisors (see below), whose sum is σ = 158939795952. Its totient is φ = 12972441600.

The previous prime is 48738040783. The next prime is 48738040807. The reversal of 48738040800 is 804083784.

48738040800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48738040807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1279632 + ... + 1317168.

It is an arithmetic number, because the mean of its divisors is an integer number (1103748583).

Almost surely, 2^48738040800 is an apocalyptic number.

48738040800 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 48738040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79469897976).

48738040800 is an abundant number, since it is smaller than the sum of its proper divisors (110201755152).

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

48738040800 is a wasteful number, since it uses less digits than its factorization.

48738040800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38101 (or 38088 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 48738040800 in words is "forty-eight billion, seven hundred thirty-eight million, forty thousand, eight hundred".