87581942242560 has 432 divisors, whose sum is σ = 309088763959248. Its totient is φ = 22890509107200.

The previous prime is 87581942242451. The next prime is 87581942242567. The reversal of 87581942242560 is 6524224918578.

87581942242560 is a `hidden beast` number, since 8 + 7 + 5 + 8 + 1 + 9 + 4 + 22 + 42 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20913280194816 + 66668662047744 = 4573104^2 + 8165088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87581942242567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197242554 + ... + 197686086.

Almost surely, 2^{87581942242560} is an apocalyptic number.

87581942242560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87581942242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154544381979624).

87581942242560 is an abundant number, since it is smaller than the sum of its proper divisors (221506821716688).

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

87581942242560 is a wasteful number, since it uses less digits than its factorization.

87581942242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443902 (or 443885 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 87581942242560 in words is "eighty-seven trillion, five hundred eighty-one billion, nine hundred forty-two million, two hundred forty-two thousand, five hundred sixty".