10576628712 has 96 divisors (see below), whose sum is σ = 31004064000. Its totient is φ = 3237936768.

The previous prime is 10576628681. The next prime is 10576628717. The reversal of 10576628712 is 21782667501.

10576628712 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 6 + 628 + 7 + 12 = 666.

It is a super-2 number, since 2×10576628712² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10576628717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157873 + ... + 214655.

It is an arithmetic number, because the mean of its divisors is an integer number (322959000).

Almost surely, 2^10576628712 is an apocalyptic number.

10576628712 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 10576628712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15502032000).

10576628712 is an abundant number, since it is smaller than the sum of its proper divisors (20427435288).

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

10576628712 is a wasteful number, since it uses less digits than its factorization.

10576628712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57007 (or 57000 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10576628712 in words is "ten billion, five hundred seventy-six million, six hundred twenty-eight thousand, seven hundred twelve".