10073345405759 has 2 divisors, whose sum is σ = 10073345405760. Its totient is φ = 10073345405758.

The previous prime is 10073345405729. The next prime is 10073345405789. The reversal of 10073345405759 is 95750454337001.

10073345405759 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10073345405729) and next prime (10073345405789).

It is a cyclic number.

It is not a de Polignac number, because 10073345405759 - 2⁸ = 10073345405503 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10073345405759.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10073345405729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5036672702879 + 5036672702880.

It is an arithmetic number, because the mean of its divisors is an integer number (5036672702880).

Almost surely, 2^{10073345405759} is an apocalyptic number.

10073345405759 is a deficient number, since it is larger than the sum of its proper divisors (1).

10073345405759 is an equidigital number, since it uses as much as digits as its factorization.

10073345405759 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7938000, while the sum is 53.

The spelling of 10073345405759 in words is "ten trillion, seventy-three billion, three hundred forty-five million, four hundred five thousand, seven hundred fifty-nine".