10585901428719 has 16 divisors (see below), whose sum is σ = 14571352172544. Its totient is φ = 6828906319200.

The previous prime is 10585901428717. The next prime is 10585901428783. The reversal of 10585901428719 is 91782410958501.

It is not a de Polignac number, because 10585901428719 - 2¹ = 10585901428717 is a prime.

It is a super-2 number, since 2×10585901428719² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585901428717) 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, 4992579 + ... + 6789524.

It is an arithmetic number, because the mean of its divisors is an integer number (910709510784).

Almost surely, 2^{10585901428719} is an apocalyptic number.

10585901428719 is a deficient number, since it is larger than the sum of its proper divisors (3985450743825).

10585901428719 is a wasteful number, since it uses less digits than its factorization.

10585901428719 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11791798.

The product of its (nonzero) digits is 7257600, while the sum is 60.

The spelling of 10585901428719 in words is "ten trillion, five hundred eighty-five billion, nine hundred one million, four hundred twenty-eight thousand, seven hundred nineteen".