90871875505424 has 80 divisors (see below), whose sum is σ = 190313131440432. Its totient is φ = 41784957886464.

The previous prime is 90871875505423. The next prime is 90871875505457. The reversal of 90871875505424 is 42450557817809.

It can be written as a sum of positive squares in 8 ways, for example, as 293256907024 + 90578618598400 = 541532^2 + 9517280^2 .

It is not an unprimeable number, because it can be changed into a prime (90871875505423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 124179134 + ... + 124908770.

Almost surely, 2^{90871875505424} 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 90871875505424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95156565720216).

90871875505424 is an abundant number, since it is smaller than the sum of its proper divisors (99441255935008).

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

90871875505424 is a wasteful number, since it uses less digits than its factorization.

90871875505424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731884 (or 731878 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 65.

The spelling of 90871875505424 in words is "ninety trillion, eight hundred seventy-one billion, eight hundred seventy-five million, five hundred five thousand, four hundred twenty-four".