88068020289600 has 336 divisors, whose sum is σ = 314183397836672. Its totient is φ = 21467811594240.

The previous prime is 88068020289589. The next prime is 88068020289619. The reversal of 88068020289600 is 698202086088.

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, 423997 + ... + 13278396.

Almost surely, 2^{88068020289600} is an apocalyptic number.

88068020289600 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 88068020289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157091698918336).

88068020289600 is an abundant number, since it is smaller than the sum of its proper divisors (226115377547072).

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

88068020289600 is a wasteful number, since it uses less digits than its factorization.

88068020289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13702534 (or 13702519 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 88068020289600 in words is "eighty-eight trillion, sixty-eight billion, twenty million, two hundred eighty-nine thousand, six hundred".