87582431232 has 288 divisors, whose sum is σ = 261686224800. Its totient is φ = 28198305792.

The previous prime is 87582431197. The next prime is 87582431267. The reversal of 87582431232 is 23213428578.

87582431232 is a `hidden beast` number, since 8 + 7 + 582 + 4 + 31 + 2 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (87582431197) and next prime (87582431267).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113890944 + ... + 113891712.

It is an arithmetic number, because the mean of its divisors is an integer number (908632725).

Almost surely, 2^87582431232 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 87582431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130843112400).

87582431232 is an abundant number, since it is smaller than the sum of its proper divisors (174103793568).

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

87582431232 is a wasteful number, since it uses less digits than its factorization.

87582431232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 978 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 87582431232 in words is "eighty-seven billion, five hundred eighty-two million, four hundred thirty-one thousand, two hundred thirty-two".