88576830720 has 1080 divisors, whose sum is σ = 377230436352. Its totient is φ = 19438755840.

The previous prime is 88576830709. The next prime is 88576830779. The reversal of 88576830720 is 2703867588.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 697455297 + ... + 697455423.

Almost surely, 2^88576830720 is an apocalyptic number.

88576830720 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 88576830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188615218176).

88576830720 is an abundant number, since it is smaller than the sum of its proper divisors (288653605632).

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

88576830720 is a wasteful number, since it uses less digits than its factorization.

88576830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 88576830720 in words is "eighty-eight billion, five hundred seventy-six million, eight hundred thirty thousand, seven hundred twenty".