10057590600077 has 2 divisors, whose sum is σ = 10057590600078. Its totient is φ = 10057590600076.

The previous prime is 10057590599999. The next prime is 10057590600089. The reversal of 10057590600077 is 77000609575001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5632714275556 + 4424876324521 = 2373334^2 + 2103539^2 .

It is a cyclic number.

It is not a de Polignac number, because 10057590600077 - 2¹² = 10057590595981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10057590600097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5028795300038 + 5028795300039.

It is an arithmetic number, because the mean of its divisors is an integer number (5028795300039).

Almost surely, 2^{10057590600077} is an apocalyptic number.

It is an amenable number.

10057590600077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10057590600077 is an equidigital number, since it uses as much as digits as its factorization.

10057590600077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 463050, while the sum is 47.

The spelling of 10057590600077 in words is "ten trillion, fifty-seven billion, five hundred ninety million, six hundred thousand, seventy-seven".