88848400004400 has 240 divisors, whose sum is σ = 285449298825600. Its totient is φ = 23623206266880.

The previous prime is 88848400004387. The next prime is 88848400004447. The reversal of 88848400004400 is 440000484888.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 88848400004400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705480636 + ... + 705606564.

It is an arithmetic number, because the mean of its divisors is an integer number (1189372078440).

Almost surely, 2^{88848400004400} is an apocalyptic number.

88848400004400 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 88848400004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142724649412800).

88848400004400 is an abundant number, since it is smaller than the sum of its proper divisors (196600898821200).

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

88848400004400 is a wasteful number, since it uses less digits than its factorization.

88848400004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127676 (or 127665 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 88848400004400 in words is "eighty-eight trillion, eight hundred forty-eight billion, four hundred million, four thousand, four hundred".