71961317197088 has 54 divisors (see below), whose sum is σ = 155725284026403. Its totient is φ = 32709449699520.

The previous prime is 71961317197087. The next prime is 71961317197097. The reversal of 71961317197088 is 88079171316917.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 35980658598544 + 35980658598544 = 5998388^2 + 5998388^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5998388.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71961317197087) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 527789981 + ... + 527926307.

Almost surely, 2^{71961317197088} is an apocalyptic number.

It is an amenable number.

71961317197088 is an abundant number, since it is smaller than the sum of its proper divisors (83763966829315).

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

71961317197088 is an frugal number, since it uses more digits than its factorization.

71961317197088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272686 (or 136340 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 68.

The spelling of 71961317197088 in words is "seventy-one trillion, nine hundred sixty-one billion, three hundred seventeen million, one hundred ninety-seven thousand, eighty-eight".