48808000800000 has 1296 divisors, whose sum is σ = 190256836376880. Its totient is φ = 11961630720000.

The previous prime is 48808000799953. The next prime is 48808000800029. The reversal of 48808000800000 is 800080884.

It can be written as a sum of positive squares in 24 ways, for example, as 48006273966336 + 801726833664 = 6928656^2 + 895392^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24055198986 + ... + 24055201014.

Almost surely, 2^{48808000800000} is an apocalyptic number.

48808000800000 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 48808000800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95128418188440).

48808000800000 is an abundant number, since it is smaller than the sum of its proper divisors (141448835576880).

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

48808000800000 is a wasteful number, since it uses less digits than its factorization.

48808000800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

Adding to 48808000800000 its reverse (800080884), we get a palindrome (48808800880884).

The spelling of 48808000800000 in words is "forty-eight trillion, eight hundred eight billion, eight hundred thousand".