88080884484480 has 192 divisors, whose sum is σ = 304347941043120. Its totient is φ = 23473282314240.

The previous prime is 88080884484419. The next prime is 88080884484491. The reversal of 88080884484480 is 8448448808088.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 88080884484399 and 88080884484408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4182054 + ... + 13915866.

Almost surely, 2^{88080884484480} is an apocalyptic number.

88080884484480 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 88080884484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152173970521560).

88080884484480 is an abundant number, since it is smaller than the sum of its proper divisors (216267056558640).

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

88080884484480 is a wasteful number, since it uses less digits than its factorization.

88080884484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9735409 (or 9735394 counting only the distinct ones).

The product of its (nonzero) digits is 536870912, while the sum is 72.

The spelling of 88080884484480 in words is "eighty-eight trillion, eighty billion, eight hundred eighty-four million, four hundred eighty-four thousand, four hundred eighty".