10672651872 has 36 divisors (see below), whose sum is σ = 30350354580. Its totient is φ = 3557550528.

The previous prime is 10672651831. The next prime is 10672651877. The reversal of 10672651872 is 27815627601.

10672651872 is a `hidden beast` number, since 1 + 0 + 67 + 2 + 6 + 518 + 72 = 666.

10672651872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10672651872² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10672651877) 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 5 ways as a sum of consecutive naturals, for example, 18528622 + ... + 18529197.

It is an arithmetic number, because the mean of its divisors is an integer number (843065405).

Almost surely, 2^10672651872 is an apocalyptic number.

10672651872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10672651872 is an abundant number, since it is smaller than the sum of its proper divisors (19677702708).

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

10672651872 is a wasteful number, since it uses less digits than its factorization.

10672651872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37057835 (or 37057824 counting only the distinct ones).

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

The spelling of 10672651872 in words is "ten billion, six hundred seventy-two million, six hundred fifty-one thousand, eight hundred seventy-two".