88017798688512 has 3456 divisors, whose sum is σ = 338227384320000. Its totient is φ = 20195559014400.

The previous prime is 88017798688511. The next prime is 88017798688517. The reversal of 88017798688512 is 21588689771088.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88017798688511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 988964030164 + ... + 988964030252.

It is an arithmetic number, because the mean of its divisors is an integer number (97866720000).

Almost surely, 2^{88017798688512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88017798688512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169113692160000).

88017798688512 is an abundant number, since it is smaller than the sum of its proper divisors (250209585631488).

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

88017798688512 is a wasteful number, since it uses less digits than its factorization.

88017798688512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 78.

The spelling of 88017798688512 in words is "eighty-eight trillion, seventeen billion, seven hundred ninety-eight million, six hundred eighty-eight thousand, five hundred twelve".