71160897600 has 1323 divisors, whose sum is σ = 300027899943. Its totient is φ = 16594606080.

The previous prime is 71160897571. The next prime is 71160897623. The reversal of 71160897600 is 679806117.

The square root of 71160897600 is 266760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18341826624 + 52819070976 = 135432^2 + 229824^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 3745310391 + ... + 3745310409.

Almost surely, 2^71160897600 is an apocalyptic number.

71160897600 is the 266760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71160897600

71160897600 is an abundant number, since it is smaller than the sum of its proper divisors (228867002343).

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

71160897600 is a wasteful number, since it uses less digits than its factorization.

71160897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 71160897600 in words is "seventy-one billion, one hundred sixty million, eight hundred ninety-seven thousand, six hundred".