10672695944352 has 288 divisors, whose sum is σ = 34491318523200. Its totient is φ = 3207534640128.

The previous prime is 10672695944293. The next prime is 10672695944371. The reversal of 10672695944352 is 25344959627601.

It is a happy number.

10672695944352 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 2 + 6 + 9 + 594 + 4 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10672695944352² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10672695944352.

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 47 ways as a sum of consecutive naturals, for example, 5428774 + ... + 7128602.

It is an arithmetic number, because the mean of its divisors is an integer number (119761522650).

Almost surely, 2^{10672695944352} is an apocalyptic number.

10672695944352 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 10672695944352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245659261600).

10672695944352 is an abundant number, since it is smaller than the sum of its proper divisors (23818622578848).

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

10672695944352 is a wasteful number, since it uses less digits than its factorization.

10672695944352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699917 (or 1699890 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 10672695944352 in words is "ten trillion, six hundred seventy-two billion, six hundred ninety-five million, nine hundred forty-four thousand, three hundred fifty-two".