10585379527368 has 32 divisors (see below), whose sum is σ = 26499849754560. Its totient is φ = 3523606384320.

The previous prime is 10585379527361. The next prime is 10585379527403. The reversal of 10585379527368 is 86372597358501.

It is a super-2 number, since 2×10585379527368² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10585379527361) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 303323323 + ... + 303358218.

It is an arithmetic number, because the mean of its divisors is an integer number (828120304830).

Almost surely, 2^{10585379527368} is an apocalyptic number.

It is an amenable number.

10585379527368 is an abundant number, since it is smaller than the sum of its proper divisors (15914470227192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10585379527368 is a wasteful number, since it uses less digits than its factorization.

10585379527368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606682277 (or 606682273 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 69.

The spelling of 10585379527368 in words is "ten trillion, five hundred eighty-five billion, three hundred seventy-nine million, five hundred twenty-seven thousand, three hundred sixty-eight".