89780405688961 has 8 divisors (see below), whose sum is σ = 99299741843624. Its totient is φ = 80634376834560.

The previous prime is 89780405688943. The next prime is 89780405689027. The reversal of 89780405688961 is 16988650408798.

It can be written as a sum of positive squares in 4 ways, for example, as 550296912400 + 89230108776561 = 741820^2 + 9446169^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 89780405688961 - 2¹⁹ = 89780405164673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89780403688961) 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 7 ways as a sum of consecutive naturals, for example, 93326824560 + ... + 93326825521.

It is an arithmetic number, because the mean of its divisors is an integer number (12412467730453).

Almost surely, 2^{89780405688961} is an apocalyptic number.

It is an amenable number.

89780405688961 is a deficient number, since it is larger than the sum of its proper divisors (9519336154663).

89780405688961 is a wasteful number, since it uses less digits than its factorization.

89780405688961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186653650131.

The product of its (nonzero) digits is 1672151040, while the sum is 79.

The spelling of 89780405688961 in words is "eighty-nine trillion, seven hundred eighty billion, four hundred five million, six hundred eighty-eight thousand, nine hundred sixty-one".