10056648672 has 108 divisors (see below), whose sum is σ = 33267799656. Its totient is φ = 2873324160.

The previous prime is 10056648661. The next prime is 10056648689. The reversal of 10056648672 is 27684665001.

10056648672 is a `hidden beast` number, since 1 + 0 + 0 + 566 + 4 + 86 + 7 + 2 = 666.

10056648672 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 2×10056648672² (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 17 ways as a sum of consecutive naturals, for example, 342204 + ... + 370427.

It is an arithmetic number, because the mean of its divisors is an integer number (308035182).

Almost surely, 2^10056648672 is an apocalyptic number.

10056648672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10056648672 is an abundant number, since it is smaller than the sum of its proper divisors (23211150984).

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

10056648672 is a wasteful number, since it uses less digits than its factorization.

10056648672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712661 (or 712643 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10056648672 in words is "ten billion, fifty-six million, six hundred forty-eight thousand, six hundred seventy-two".