76005133520801 has 16 divisors (see below), whose sum is σ = 78798016716288. Its totient is φ = 73233959673600.

The previous prime is 76005133520699. The next prime is 76005133520839. The reversal of 76005133520801 is 10802533150067.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-76005133520801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76005133520401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8435186 + ... + 14938628.

It is an arithmetic number, because the mean of its divisors is an integer number (4924876044768).

Almost surely, 2^{76005133520801} is an apocalyptic number.

It is an amenable number.

76005133520801 is a deficient number, since it is larger than the sum of its proper divisors (2792883195487).

76005133520801 is a wasteful number, since it uses less digits than its factorization.

76005133520801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6505112.

The product of its (nonzero) digits is 151200, while the sum is 41.

Adding to 76005133520801 its reverse (10802533150067), we get a palindrome (86807666670868).

The spelling of 76005133520801 in words is "seventy-six trillion, five billion, one hundred thirty-three million, five hundred twenty thousand, eight hundred one".