19523977966081 has 8 divisors (see below), whose sum is σ = 19710317226600. Its totient is φ = 19337769982080.

The previous prime is 19523977965983. The next prime is 19523977966093. The reversal of 19523977966081 is 18066977932591.

It can be written as a sum of positive squares in 4 ways, for example, as 6702708703681 + 12821269262400 = 2588959^2 + 3580680^2 .

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 19523977966081 - 2²⁵ = 19523944411649 is a prime.

It is a super-2 number, since 2×19523977966081² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19523977965995 and 19523977966013.

It is not an unprimeable number, because it can be changed into a prime (19523977963081) 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, 32520250 + ... + 33115171.

It is an arithmetic number, because the mean of its divisors is an integer number (2463789653325).

Almost surely, 2^{19523977966081} is an apocalyptic number.

It is an amenable number.

19523977966081 is a deficient number, since it is larger than the sum of its proper divisors (186339260519).

19523977966081 is a wasteful number, since it uses less digits than its factorization.

19523977966081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65638259.

The product of its (nonzero) digits is 308629440, while the sum is 73.

The spelling of 19523977966081 in words is "nineteen trillion, five hundred twenty-three billion, nine hundred seventy-seven million, nine hundred sixty-six thousand, eighty-one".