10431189072 has 120 divisors (see below), whose sum is σ = 30658176640. Its totient is φ = 3432948480.

The previous prime is 10431189059. The next prime is 10431189079. The reversal of 10431189072 is 27098113401.

It is a happy number.

10431189072 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-5 number, since 5×10431189072⁵ (a number of 51 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10431189079) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 290172 + ... + 324132.

Almost surely, 2^10431189072 is an apocalyptic number.

10431189072 is a gapful number since it is divisible by the number (12) 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 10431189072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15329088320).

10431189072 is an abundant number, since it is smaller than the sum of its proper divisors (20226987568).

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

10431189072 is an equidigital number, since it uses as much as digits as its factorization.

10431189072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34063 (or 34045 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10431189072 in words is "ten billion, four hundred thirty-one million, one hundred eighty-nine thousand, seventy-two".