88409280960 has 1512 divisors, whose sum is σ = 419104395216. Its totient is φ = 16907304960.

The previous prime is 88409280919. The next prime is 88409280979. The reversal of 88409280960 is 6908290488.

It is a junction number, because it is equal to n+sod(n) for n = 88409280897 and 88409280906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 262341912 + ... + 262342248.

Almost surely, 2^88409280960 is an apocalyptic number.

88409280960 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 88409280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209552197608).

88409280960 is an abundant number, since it is smaller than the sum of its proper divisors (330695114256).

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

88409280960 is a wasteful number, since it uses less digits than its factorization.

88409280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 88409280960 in words is "eighty-eight billion, four hundred nine million, two hundred eighty thousand, nine hundred sixty".