88540314000 has 160 divisors (see below), whose sum is σ = 285607969920. Its totient is φ = 23598016000.

The previous prime is 88540313989. The next prime is 88540314059. The reversal of 88540314000 is 41304588.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17631490 + ... + 17636510.

It is an arithmetic number, because the mean of its divisors is an integer number (1785049812).

Almost surely, 2^88540314000 is an apocalyptic number.

88540314000 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 88540314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142803984960).

88540314000 is an abundant number, since it is smaller than the sum of its proper divisors (197067655920).

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

88540314000 is a wasteful number, since it uses less digits than its factorization.

88540314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7986 (or 7970 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 88540314000 its reverse (41304588), we get a palindrome (88581618588).

The spelling of 88540314000 in words is "eighty-eight billion, five hundred forty million, three hundred fourteen thousand".