88048480403200 has 432 divisors, whose sum is σ = 221647393658880. Its totient is φ = 34626087567360.

The previous prime is 88048480403153. The next prime is 88048480403267. The reversal of 88048480403200 is 230408484088.

88048480403200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 39895096497 + ... + 39895098703.

Almost surely, 2^{88048480403200} is an apocalyptic number.

88048480403200 is a gapful number since it is divisible by the number (80) 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 88048480403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110823696829440).

88048480403200 is an abundant number, since it is smaller than the sum of its proper divisors (133598913255680).

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

88048480403200 is a wasteful number, since it uses less digits than its factorization.

88048480403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 49.

Adding to 88048480403200 its reverse (230408484088), we get a palindrome (88278888887288).

The spelling of 88048480403200 in words is "eighty-eight trillion, forty-eight billion, four hundred eighty million, four hundred three thousand, two hundred".