87959793342961 has 8 divisors (see below), whose sum is σ = 88109312076800. Its totient is φ = 87810360768000.

The previous prime is 87959793342947. The next prime is 87959793343003. The reversal of 87959793342961 is 16924339795978.

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 87959793342961 - 2⁵ = 87959793342929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87959793342361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19496016 + ... + 23579953.

It is an arithmetic number, because the mean of its divisors is an integer number (11013664009600).

Almost surely, 2^{87959793342961} is an apocalyptic number.

It is an amenable number.

87959793342961 is a deficient number, since it is larger than the sum of its proper divisors (149518733839).

87959793342961 is a wasteful number, since it uses less digits than its factorization.

87959793342961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43079439.

The product of its digits is 5555329920, while the sum is 82.

The spelling of 87959793342961 in words is "eighty-seven trillion, nine hundred fifty-nine billion, seven hundred ninety-three million, three hundred forty-two thousand, nine hundred sixty-one".