87392958129 has 21 divisors (see below), whose sum is σ = 131041465243. Its totient is φ = 58256650872.

The previous prime is 87392958119. The next prime is 87392958143. The reversal of 87392958129 is 92185929378.

The square root of 87392958129 is 295623.

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

87392958129 is a `hidden beast` number, since 8 + 7 + 3 + 9 + 29 + 581 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4552605729 + 82840352400 = 67473^2 + 287820^2 .

It is not a de Polignac number, because 87392958129 - 2²³ = 87384569521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87392958119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7976347 + ... + 7987295.

Almost surely, 2^87392958129 is an apocalyptic number.

87392958129 is the 295623-rd square number.

87392958129 is the 147812-nd centered octagonal number.

It is an amenable number.

87392958129 is a deficient number, since it is larger than the sum of its proper divisors (43648507114).

87392958129 is an frugal number, since it uses more digits than its factorization.

87392958129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21916 (or 10952 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 87392958129 in words is "eighty-seven billion, three hundred ninety-two million, nine hundred fifty-eight thousand, one hundred twenty-nine".