87079710385801 has 27 divisors (see below), whose sum is σ = 104672286636813. Its totient is φ = 72230338134360.

The previous prime is 87079710385771. The next prime is 87079710385819. The reversal of 87079710385801 is 10858301797078.

The square root of 87079710385801 is 9331651.

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

It is not a de Polignac number, because 87079710385801 - 2¹⁹ = 87079709861513 is a prime.

It is a super-3 number, since 3×87079710385801³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (87079710385841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2024946766 + ... + 2024989768.

It is an arithmetic number, because the mean of its divisors is an integer number (3876751356919).

Almost surely, 2^{87079710385801} is an apocalyptic number.

87079710385801 is the 9331651-st square number.

87079710385801 is the 4665826-th centered octagonal number.

It is an amenable number.

87079710385801 is a deficient number, since it is larger than the sum of its proper divisors (17592576251012).

87079710385801 is an frugal number, since it uses more digits than its factorization.

87079710385801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86082 (or 43041 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 64.

The spelling of 87079710385801 in words is "eighty-seven trillion, seventy-nine billion, seven hundred ten million, three hundred eighty-five thousand, eight hundred one".