71160989834816 has 112 divisors (see below), whose sum is σ = 169972111119360. Its totient is φ = 28876221411840.

The previous prime is 71160989834783. The next prime is 71160989834849. The reversal of 71160989834816 is 61843898906117.

It is an interprime number because it is at equal distance from previous prime (71160989834783) and next prime (71160989834849).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 71160989834816.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12832511 + ... + 17521281.

Almost surely, 2^{71160989834816} is an apocalyptic number.

71160989834816 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71160989834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84986055559680).

71160989834816 is an abundant number, since it is smaller than the sum of its proper divisors (98811121284544).

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

71160989834816 is a wasteful number, since it uses less digits than its factorization.

71160989834816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690592 (or 4690582 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 71.

The spelling of 71160989834816 in words is "seventy-one trillion, one hundred sixty billion, nine hundred eighty-nine million, eight hundred thirty-four thousand, eight hundred sixteen".