88381440000 has 900 divisors, whose sum is σ = 367282419504. Its totient is φ = 20054016000.

The previous prime is 88381439989. The next prime is 88381440001. The reversal of 88381440000 is 4418388.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×88381440000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88381440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 645119932 + ... + 645120068.

Almost surely, 2^88381440000 is an apocalyptic number.

88381440000 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 88381440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183641209752).

88381440000 is an abundant number, since it is smaller than the sum of its proper divisors (278900979504).

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

88381440000 is an equidigital number, since it uses as much as digits as its factorization.

88381440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 88381440000 its reverse (4418388), we get a palindrome (88385858388).

The spelling of 88381440000 in words is "eighty-eight billion, three hundred eighty-one million, four hundred forty thousand".