10507826120 has 64 divisors (see below), whose sum is σ = 27149428800. Its totient is φ = 3619918080.

The previous prime is 10507826111. The next prime is 10507826129. The reversal of 10507826120 is 2162870501.

It is an interprime number because it is at equal distance from previous prime (10507826111) and next prime (10507826129).

It is a super-2 number, since 2×10507826120² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10507826129) 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, 620099 + ... + 636818.

It is an arithmetic number, because the mean of its divisors is an integer number (424209825).

Almost surely, 2^10507826120 is an apocalyptic number.

10507826120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10507826120 is an abundant number, since it is smaller than the sum of its proper divisors (16641602680).

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

10507826120 is a wasteful number, since it uses less digits than its factorization.

10507826120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256958 (or 1256954 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 10507826120 in words is "ten billion, five hundred seven million, eight hundred twenty-six thousand, one hundred twenty".