10467813120 has 144 divisors (see below), whose sum is σ = 33534926880. Its totient is φ = 2782789632.

The previous prime is 10467813047. The next prime is 10467813131. The reversal of 10467813120 is 2131876401.

10467813120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10467813120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1290036 + ... + 1298124.

Almost surely, 2^10467813120 is an apocalyptic number.

10467813120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10467813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16767463440).

10467813120 is an abundant number, since it is smaller than the sum of its proper divisors (23067113760).

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

10467813120 is an equidigital number, since it uses as much as digits as its factorization.

10467813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8450 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 10467813120 in words is "ten billion, four hundred sixty-seven million, eight hundred thirteen thousand, one hundred twenty".