88385568768 has 960 divisors, whose sum is σ = 335198545920. Its totient is φ = 22422749184.

The previous prime is 88385568767. The next prime is 88385568787. The reversal of 88385568768 is 86786558388.

88385568768 is a `hidden beast` number, since 8 + 8 + 3 + 8 + 556 + 8 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 88385568696 and 88385568705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88385568763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1210761180 + ... + 1210761252.

It is an arithmetic number, because the mean of its divisors is an integer number (349165152).

Almost surely, 2^88385568768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88385568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167599272960).

88385568768 is an abundant number, since it is smaller than the sum of its proper divisors (246812977152).

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

88385568768 is a wasteful number, since it uses less digits than its factorization.

88385568768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its digits is 619315200, while the sum is 72.

The spelling of 88385568768 in words is "eighty-eight billion, three hundred eighty-five million, five hundred sixty-eight thousand, seven hundred sixty-eight".