88305120960 has 896 divisors, whose sum is σ = 350989148160. Its totient is φ = 18354733056.

The previous prime is 88305120919. The next prime is 88305120971. The reversal of 88305120960 is 6902150388.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 635288571 + ... + 635288709.

It is an arithmetic number, because the mean of its divisors is an integer number (391728960).

Almost surely, 2^88305120960 is an apocalyptic number.

88305120960 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 88305120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175494574080).

88305120960 is an abundant number, since it is smaller than the sum of its proper divisors (262684027200).

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

88305120960 is a wasteful number, since it uses less digits than its factorization.

88305120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 88305120960 in words is "eighty-eight billion, three hundred five million, one hundred twenty thousand, nine hundred sixty".