88360222910256 has 640 divisors, whose sum is σ = 288106788556800. Its totient is φ = 25699053219840.

The previous prime is 88360222910249. The next prime is 88360222910257. The reversal of 88360222910256 is 65201922206388.

88360222910256 is a `hidden beast` number, since 8 + 8 + 3 + 602 + 2 + 2 + 9 + 1 + 0 + 25 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (88360222910257) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2122645315 + ... + 2122686941.

It is an arithmetic number, because the mean of its divisors is an integer number (450166857120).

Almost surely, 2^{88360222910256} 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 88360222910256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144053394278400).

88360222910256 is an abundant number, since it is smaller than the sum of its proper divisors (199746565646544).

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

88360222910256 is a wasteful number, since it uses less digits than its factorization.

88360222910256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41894 (or 41882 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 88360222910256 in words is "eighty-eight trillion, three hundred sixty billion, two hundred twenty-two million, nine hundred ten thousand, two hundred fifty-six".