8761977619201 has 2 divisors, whose sum is σ = 8761977619202. Its totient is φ = 8761977619200.

The previous prime is 8761977619183. The next prime is 8761977619271. The reversal of 8761977619201 is 1029167791678.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7090583724225 + 1671393894976 = 2662815^2 + 1292824^2 .

It is a cyclic number.

It is not a de Polignac number, because 8761977619201 - 2¹⁵ = 8761977586433 is a prime.

It is not a weakly prime, because it can be changed into another prime (8761977619271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4380988809600 + 4380988809601.

It is an arithmetic number, because the mean of its divisors is an integer number (4380988809601).

Almost surely, 2^{8761977619201} is an apocalyptic number.

It is an amenable number.

8761977619201 is a deficient number, since it is larger than the sum of its proper divisors (1).

8761977619201 is an equidigital number, since it uses as much as digits as its factorization.

8761977619201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16003008, while the sum is 64.

The spelling of 8761977619201 in words is "eight trillion, seven hundred sixty-one billion, nine hundred seventy-seven million, six hundred nineteen thousand, two hundred one".