88844808040800 has 288 divisors, whose sum is σ = 330527326897152. Its totient is φ = 20305870663680.

The previous prime is 88844808040799. The next prime is 88844808040829. The reversal of 88844808040800 is 804080844888.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 233380212 + ... + 233760588.

It is an arithmetic number, because the mean of its divisors is an integer number (1147664329504).

Almost surely, 2^{88844808040800} is an apocalyptic number.

88844808040800 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 88844808040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165263663448576).

88844808040800 is an abundant number, since it is smaller than the sum of its proper divisors (241682518856352).

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

88844808040800 is a wasteful number, since it uses less digits than its factorization.

88844808040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394310 (or 394297 counting only the distinct ones).

The product of its (nonzero) digits is 16777216, while the sum is 60.

The spelling of 88844808040800 in words is "eighty-eight trillion, eight hundred forty-four billion, eight hundred eight million, forty thousand, eight hundred".