8101724878009 has 12 divisors (see below), whose sum is σ = 9424903562100. Its totient is φ = 6944005436928.

The previous prime is 8101724877979. The next prime is 8101724878021. The reversal of 8101724878009 is 9008784271018.

It can be written as a sum of positive squares in 2 ways, for example, as 8072826577984 + 28898300025 = 2841272^2 + 169995^2 .

It is not a de Polignac number, because 8101724878009 - 2⁵ = 8101724877977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8101724878609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2886724 + ... + 4953445.

It is an arithmetic number, because the mean of its divisors is an integer number (785408630175).

Almost surely, 2^{8101724878009} is an apocalyptic number.

It is an amenable number.

8101724878009 is a deficient number, since it is larger than the sum of its proper divisors (1323178684091).

8101724878009 is a wasteful number, since it uses less digits than its factorization.

8101724878009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7861272 (or 7861265 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 55.

The spelling of 8101724878009 in words is "eight trillion, one hundred one billion, seven hundred twenty-four million, eight hundred seventy-eight thousand, nine".