71100055121616 has 30 divisors (see below), whose sum is σ = 198981404264370. Its totient is φ = 23700018373824.

The previous prime is 71100055121573. The next prime is 71100055121617. The reversal of 71100055121616 is 61612155000117.

71100055121616 is a `hidden beast` number, since 7 + 1 + 10 + 0 + 0 + 5 + 5 + 1 + 21 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66792371475600 + 4307683646016 = 8172660^2 + 2075496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71100055121617) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 246875191251 + ... + 246875191538.

It is an arithmetic number, because the mean of its divisors is an integer number (6632713475479).

Almost surely, 2^{71100055121616} is an apocalyptic number.

It is an amenable number.

71100055121616 is an abundant number, since it is smaller than the sum of its proper divisors (127881349142754).

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

71100055121616 is a wasteful number, since it uses less digits than its factorization.

71100055121616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493750382803 (or 493750382794 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The spelling of 71100055121616 in words is "seventy-one trillion, one hundred billion, fifty-five million, one hundred twenty-one thousand, six hundred sixteen".