88133504544 has 192 divisors, whose sum is σ = 260689363200. Its totient is φ = 28964542464.

The previous prime is 88133504491. The next prime is 88133504639. The reversal of 88133504544 is 44540533188.

88133504544 is a `hidden beast` number, since 8 + 8 + 133 + 504 + 5 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 88133504544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30526269 + ... + 30529155.

It is an arithmetic number, because the mean of its divisors is an integer number (1357757100).

Almost surely, 2^88133504544 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 88133504544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130344681600).

88133504544 is an abundant number, since it is smaller than the sum of its proper divisors (172555858656).

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

88133504544 is a wasteful number, since it uses less digits than its factorization.

88133504544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 88133504544 in words is "eighty-eight billion, one hundred thirty-three million, five hundred four thousand, five hundred forty-four".