76171008901 has 12 divisors (see below), whose sum is σ = 83331371172. Its totient is φ = 69586822656.

The previous prime is 76171008883. The next prime is 76171008943. The reversal of 76171008901 is 10980017167.

It can be written as a sum of positive squares in 6 ways, for example, as 11451140100 + 64719868801 = 107010^2 + 254401^2 .

It is not a de Polignac number, because 76171008901 - 2¹⁷ = 76170877829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76171008961) 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, 2306886 + ... + 2339671.

It is an arithmetic number, because the mean of its divisors is an integer number (6944280931).

Almost surely, 2^76171008901 is an apocalyptic number.

It is an amenable number.

76171008901 is a deficient number, since it is larger than the sum of its proper divisors (7160362271).

76171008901 is a wasteful number, since it uses less digits than its factorization.

76171008901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4646680 (or 4646667 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 40.

The spelling of 76171008901 in words is "seventy-six billion, one hundred seventy-one million, eight thousand, nine hundred one".