71999999999901 has 16 divisors (see below), whose sum is σ = 106667432118720. Its totient is φ = 47999655546480.

The previous prime is 71999999999899. The next prime is 71999999999951. The reversal of 71999999999901 is 10999999999917.

It is not a de Polignac number, because 71999999999901 - 2¹ = 71999999999899 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71999999999793 and 71999999999802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71999999999951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5707675 + ... + 13288248.

It is an arithmetic number, because the mean of its divisors is an integer number (6666714507420).

Almost surely, 2^{71999999999901} is an apocalyptic number.

It is an amenable number.

71999999999901 is a deficient number, since it is larger than the sum of its proper divisors (34667432118819).

71999999999901 is a wasteful number, since it uses less digits than its factorization.

71999999999901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19136313 (or 19136307 counting only the distinct ones).

The product of its (nonzero) digits is 24407490807, while the sum is 99.

The spelling of 71999999999901 in words is "seventy-one trillion, nine hundred ninety-nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred one".