88442702336000 has 208 divisors, whose sum is σ = 220760828196480. Its totient is φ = 35371505254400.

The previous prime is 88442702335997. The next prime is 88442702336017. The reversal of 88442702336000 is 63320724488.

It is a super-2 number, since 2×88442702336000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5154295421 + ... + 5154312579.

It is an arithmetic number, because the mean of its divisors is an integer number (1061350135560).

Almost surely, 2^{88442702336000} is an apocalyptic number.

88442702336000 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 88442702336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110380414098240).

88442702336000 is an abundant number, since it is smaller than the sum of its proper divisors (132318125860480).

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

88442702336000 is a wasteful number, since it uses less digits than its factorization.

88442702336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27265 (or 27233 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 47.

The spelling of 88442702336000 in words is "eighty-eight trillion, four hundred forty-two billion, seven hundred two million, three hundred thirty-six thousand".