71450995200 has 480 divisors, whose sum is σ = 260464704192. Its totient is φ = 17154048000.

The previous prime is 71450995171. The next prime is 71450995201. The reversal of 71450995200 is 259905417.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (71450995201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20465455 + ... + 20468945.

Almost surely, 2^71450995200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71450995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130232352096).

71450995200 is an abundant number, since it is smaller than the sum of its proper divisors (189013708992).

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

71450995200 is a wasteful number, since it uses less digits than its factorization.

71450995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 71450995200 in words is "seventy-one billion, four hundred fifty million, nine hundred ninety-five thousand, two hundred".