10585021624 has 8 divisors (see below), whose sum is σ = 19846915560. Its totient is φ = 5292510808.

The previous prime is 10585021609. The next prime is 10585021637. The reversal of 10585021624 is 42612058501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×10585021624² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10585021624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661563844 + ... + 661563859.

It is an arithmetic number, because the mean of its divisors is an integer number (2480864445).

Almost surely, 2^10585021624 is an apocalyptic number.

It is an amenable number.

10585021624 is a deficient number, since it is larger than the sum of its proper divisors (9261893936).

10585021624 is a wasteful number, since it uses less digits than its factorization.

10585021624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323127709 (or 1323127705 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 10585021624 in words is "ten billion, five hundred eighty-five million, twenty-one thousand, six hundred twenty-four".