71160275151072 has 96 divisors (see below), whose sum is σ = 207606952173600. Its totient is φ = 23713674614784.

The previous prime is 71160275151067. The next prime is 71160275151113. The reversal of 71160275151072 is 27015157206117.

71160275151072 is a `hidden beast` number, since 7 + 1 + 1 + 6 + 0 + 27 + 515 + 107 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7944747 + ... + 14333162.

It is an arithmetic number, because the mean of its divisors is an integer number (2162572418475).

Almost surely, 2^{71160275151072} is an apocalyptic number.

71160275151072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71160275151072 is an abundant number, since it is smaller than the sum of its proper divisors (136446677022528).

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

71160275151072 is a wasteful number, since it uses less digits than its factorization.

71160275151072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22281625 (or 22281611 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 45.

The spelling of 71160275151072 in words is "seventy-one trillion, one hundred sixty billion, two hundred seventy-five million, one hundred fifty-one thousand, seventy-two".