87175001088 has 704 divisors, whose sum is σ = 314628812800. Its totient is φ = 23290675200.

The previous prime is 87175001077. The next prime is 87175001129. The reversal of 87175001088 is 88010057178.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 555254706 + ... + 555254862.

Almost surely, 2^87175001088 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 87175001088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157314406400).

87175001088 is an abundant number, since it is smaller than the sum of its proper divisors (227453811712).

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

87175001088 is a wasteful number, since it uses less digits than its factorization.

87175001088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 45.

The spelling of 87175001088 in words is "eighty-seven billion, one hundred seventy-five million, one thousand, eighty-eight".