11972577576961 has 8 divisors (see below), whose sum is σ = 12680804708064. Its totient is φ = 11264790208320.

The previous prime is 11972577576959. The next prime is 11972577577027. The reversal of 11972577576961 is 16967577527911.

It is a happy number.

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 11972577576961 - 2¹ = 11972577576959 is a prime.

It is a super-2 number, since 2×11972577576961² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11972577546961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109884555 + ... + 109993456.

It is an arithmetic number, because the mean of its divisors is an integer number (1585100588508).

Almost surely, 2^{11972577576961} is an apocalyptic number.

It is an amenable number.

11972577576961 is a deficient number, since it is larger than the sum of its proper divisors (708227131103).

11972577576961 is a wasteful number, since it uses less digits than its factorization.

11972577576961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219881231.

The product of its digits is 350065800, while the sum is 73.

The spelling of 11972577576961 in words is "eleven trillion, nine hundred seventy-two billion, five hundred seventy-seven million, five hundred seventy-six thousand, nine hundred sixty-one".