88448404800 has 336 divisors, whose sum is σ = 349096624640. Its totient is φ = 19152599040.

The previous prime is 88448404747. The next prime is 88448404817. The reversal of 88448404800 is 840484488.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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 88448404800.

It is a congruent number.

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, 569127 + ... + 707673.

Almost surely, 2^88448404800 is an apocalyptic number.

88448404800 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 88448404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174548312320).

88448404800 is an abundant number, since it is smaller than the sum of its proper divisors (260648219840).

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

88448404800 is a wasteful number, since it uses less digits than its factorization.

88448404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138598 (or 138583 counting only the distinct ones).

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

The spelling of 88448404800 in words is "eighty-eight billion, four hundred forty-eight million, four hundred four thousand, eight hundred".