87242255424 has 189 divisors, whose sum is σ = 259043470101. Its totient is φ = 28071774720.

The previous prime is 87242255389. The next prime is 87242255437. The reversal of 87242255424 is 42455224278.

The square root of 87242255424 is 295368.

It is a perfect power (a square), and thus also a powerful number.

87242255424 is a `hidden beast` number, since 8 + 72 + 4 + 2 + 2 + 554 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58467240000 + 28775015424 = 241800^2 + 169632^2 .

It is a super-2 number, since 2×87242255424² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87242255424.

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 26 ways as a sum of consecutive naturals, for example, 219753594 + ... + 219753990.

Almost surely, 2^87242255424 is an apocalyptic number.

87242255424 is the 295368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87242255424

87242255424 is an abundant number, since it is smaller than the sum of its proper divisors (171801214677).

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

87242255424 is an equidigital number, since it uses as much as digits as its factorization.

87242255424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 433 counting only the distinct ones).

The product of its digits is 1433600, while the sum is 45.

The spelling of 87242255424 in words is "eighty-seven billion, two hundred forty-two million, two hundred fifty-five thousand, four hundred twenty-four".