88443040000 has 540 divisors, whose sum is σ = 266153787900. Its totient is φ = 29202432000.

The previous prime is 88443039983. The next prime is 88443040001. The reversal of 88443040000 is 4034488.

It can be written as a sum of positive squares in 10 ways, for example, as 76591669504 + 11851370496 = 276752^2 + 108864^2 .

It is not an unprimeable number, because it can be changed into a prime (88443040001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 227359806 + ... + 227360194.

It is an arithmetic number, because the mean of its divisors is an integer number (492877385).

Almost surely, 2^88443040000 is an apocalyptic number.

88443040000 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 88443040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133076893950).

88443040000 is an abundant number, since it is smaller than the sum of its proper divisors (177710747900).

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

88443040000 is an equidigital number, since it uses as much as digits as its factorization.

88443040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 88443040000 its reverse (4034488), we get a palindrome (88447074488).

The spelling of 88443040000 in words is "eighty-eight billion, four hundred forty-three million, forty thousand".