89257580029 has 16 divisors (see below), whose sum is σ = 91494462400. Its totient is φ = 87048618624.

The previous prime is 89257580017. The next prime is 89257580039. The reversal of 89257580029 is 92008575298.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-89257580029 is a prime.

It is a super-3 number, since 3×89257580029³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89257580039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10650889 + ... + 10659265.

It is an arithmetic number, because the mean of its divisors is an integer number (5718403900).

Almost surely, 2^89257580029 is an apocalyptic number.

It is an amenable number.

89257580029 is a deficient number, since it is larger than the sum of its proper divisors (2236882371).

89257580029 is a wasteful number, since it uses less digits than its factorization.

89257580029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10012.

The product of its (nonzero) digits is 3628800, while the sum is 55.

The spelling of 89257580029 in words is "eighty-nine billion, two hundred fifty-seven million, five hundred eighty thousand, twenty-nine".