88542324045000 has 3840 divisors, whose sum is σ = 385857686016000. Its totient is φ = 18718947072000.

The previous prime is 88542324044989. The next prime is 88542324045023. The reversal of 88542324045000 is 54042324588.

88542324045000 is a `hidden beast` number, since 8 + 8 + 5 + 4 + 232 + 404 + 5 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 494649854911 + ... + 494649855089.

It is an arithmetic number, because the mean of its divisors is an integer number (100483772400).

Almost surely, 2^{88542324045000} 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 88542324045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192928843008000).

88542324045000 is an abundant number, since it is smaller than the sum of its proper divisors (297315361971000).

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

88542324045000 is a wasteful number, since it uses less digits than its factorization.

88542324045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

Adding to 88542324045000 its reverse (54042324588), we get a palindrome (88596366369588).

The spelling of 88542324045000 in words is "eighty-eight trillion, five hundred forty-two billion, three hundred twenty-four million, forty-five thousand".