71161667682100 has 36 divisors (see below), whose sum is σ = 156952307717548. Its totient is φ = 27998033184000.

The previous prime is 71161667682089. The next prime is 71161667682101. The reversal of 71161667682100 is 128676616117.

It can be written as a sum of positive squares in 6 ways, for example, as 10200895005456 + 60960772676644 = 3193884^2 + 7807738^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71161667682101) 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, 5832917481 + ... + 5832929680.

Almost surely, 2^{71161667682100} is an apocalyptic number.

It is an amenable number.

71161667682100 is an abundant number, since it is smaller than the sum of its proper divisors (85790640035448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71161667682100 is a wasteful number, since it uses less digits than its factorization.

71161667682100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11665847236 (or 11665847229 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 71161667682100 in words is "seventy-one trillion, one hundred sixty-one billion, six hundred sixty-seven million, six hundred eighty-two thousand, one hundred".