88424333312000 has 576 divisors, whose sum is σ = 254505235106304. Its totient is φ = 30044218982400.

The previous prime is 88424333311991. The next prime is 88424333312129. The reversal of 88424333312000 is 21333342488.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12959740589 + ... + 12959747411.

It is an arithmetic number, because the mean of its divisors is an integer number (441849366504).

Almost surely, 2^{88424333312000} is an apocalyptic number.

88424333312000 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 88424333312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127252617553152).

88424333312000 is an abundant number, since it is smaller than the sum of its proper divisors (166080901794304).

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

88424333312000 is an frugal number, since it uses more digits than its factorization.

88424333312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6992 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

Adding to 88424333312000 its reverse (21333342488), we get a palindrome (88445666654488).

The spelling of 88424333312000 in words is "eighty-eight trillion, four hundred twenty-four billion, three hundred thirty-three million, three hundred twelve thousand".