88745854080 has 256 divisors, whose sum is σ = 304965964800. Its totient is φ = 21821571072.

The previous prime is 88745854061. The next prime is 88745854111. The reversal of 88745854080 is 8045854788.

It is a self number, because there is not a number n which added to its sum of digits gives 88745854080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39111186 + ... + 39113454.

It is an arithmetic number, because the mean of its divisors is an integer number (1191273300).

Almost surely, 2^88745854080 is an apocalyptic number.

88745854080 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 88745854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152482982400).

88745854080 is an abundant number, since it is smaller than the sum of its proper divisors (216220110720).

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

88745854080 is a wasteful number, since it uses less digits than its factorization.

88745854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 11468800, while the sum is 57.

The spelling of 88745854080 in words is "eighty-eight billion, seven hundred forty-five million, eight hundred fifty-four thousand, eighty".