10349585520 has 80 divisors (see below), whose sum is σ = 32109528192. Its totient is φ = 2757669120.

The previous prime is 10349585503. The next prime is 10349585527. The reversal of 10349585520 is 2558594301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10349585520² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10349585527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293139 + ... + 326541.

Almost surely, 2^10349585520 is an apocalyptic number.

10349585520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10349585520 is an abundant number, since it is smaller than the sum of its proper divisors (21759942672).

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

10349585520 is a wasteful number, since it uses less digits than its factorization.

10349585520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34710 (or 34704 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 10349585520 in words is "ten billion, three hundred forty-nine million, five hundred eighty-five thousand, five hundred twenty".