88585506720 has 288 divisors, whose sum is σ = 320431168512. Its totient is φ = 22208864256.

The previous prime is 88585506719. The next prime is 88585506743. The reversal of 88585506720 is 2760558588.

It is a happy number.

88585506720 is a `hidden beast` number, since 8 + 8 + 5 + 8 + 550 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 34833769 + ... + 34836311.

It is an arithmetic number, because the mean of its divisors is an integer number (1112608224).

Almost surely, 2^88585506720 is an apocalyptic number.

88585506720 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 88585506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160215584256).

88585506720 is an abundant number, since it is smaller than the sum of its proper divisors (231845661792).

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

88585506720 is a wasteful number, since it uses less digits than its factorization.

88585506720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 88585506720 in words is "eighty-eight billion, five hundred eighty-five million, five hundred six thousand, seven hundred twenty".