71604095456000 has 72 divisors (see below), whose sum is σ = 178374752372544. Its totient is φ = 28641638169600.

The previous prime is 71604095455973. The next prime is 71604095456011. The reversal of 71604095456000 is 65459040617.

71604095456000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1118781992 + ... + 1118845991.

Almost surely, 2^{71604095456000} is an apocalyptic number.

It is an amenable number.

71604095456000 is an abundant number, since it is smaller than the sum of its proper divisors (106770656916544).

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

71604095456000 is an equidigital number, since it uses as much as digits as its factorization.

71604095456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237628014 (or 2237627990 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 47.

The spelling of 71604095456000 in words is "seventy-one trillion, six hundred four billion, ninety-five million, four hundred fifty-six thousand".