10712456160 has 576 divisors, whose sum is σ = 42479603712. Its totient is φ = 2215084032.

The previous prime is 10712456147. The next prime is 10712456263. The reversal of 10712456160 is 6165421701.

10712456160 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 2×10712456160² (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 95 ways as a sum of consecutive naturals, for example, 48037809 + ... + 48038031.

It is an arithmetic number, because the mean of its divisors is an integer number (73749312).

Almost surely, 2^10712456160 is an apocalyptic number.

10712456160 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 10712456160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21239801856).

10712456160 is an abundant number, since it is smaller than the sum of its proper divisors (31767147552).

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

10712456160 is a wasteful number, since it uses less digits than its factorization.

10712456160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

Adding to 10712456160 its reverse (6165421701), we get a palindrome (16877877861).

The spelling of 10712456160 in words is "ten billion, seven hundred twelve million, four hundred fifty-six thousand, one hundred sixty".