89510729142121 has 27 divisors (see below), whose sum is σ = 107017896149829. Its totient is φ = 74647830918528.

The previous prime is 89510729142119. The next prime is 89510729142193. The reversal of 89510729142121 is 12124192701598.

The square root of 89510729142121 is 9461011.

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

It can be written as a sum of positive squares in 4 ways, for example, as 40053772728025 + 49456956414096 = 6328805^2 + 7032564^2 .

It is not a de Polignac number, because 89510729142121 - 2¹ = 89510729142119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (89510721142121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2450383585 + ... + 2450420113.

It is an arithmetic number, because the mean of its divisors is an integer number (3963625783327).

Almost surely, 2^{89510729142121} is an apocalyptic number.

89510729142121 is the 9461011-st square number.

89510729142121 is the 4730506-th centered octagonal number.

It is an amenable number.

89510729142121 is a deficient number, since it is larger than the sum of its proper divisors (17507167007708).

89510729142121 is an frugal number, since it uses more digits than its factorization.

89510729142121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73146 (or 36573 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 52.

The spelling of 89510729142121 in words is "eighty-nine trillion, five hundred ten billion, seven hundred twenty-nine million, one hundred forty-two thousand, one hundred twenty-one".