10381968856952 has 144 divisors (see below), whose sum is σ = 25692974516160. Its totient is φ = 3914440992000.

The previous prime is 10381968856951. The next prime is 10381968856957. The reversal of 10381968856952 is 25965886918301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10381968856951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2059949 + ... + 5000732.

It is an arithmetic number, because the mean of its divisors is an integer number (178423434140).

Almost surely, 2^{10381968856952} is an apocalyptic number.

It is an amenable number.

10381968856952 is an abundant number, since it is smaller than the sum of its proper divisors (15311005659208).

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

10381968856952 is a wasteful number, since it uses less digits than its factorization.

10381968856952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7060754 (or 7060732 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 71.

The spelling of 10381968856952 in words is "ten trillion, three hundred eighty-one billion, nine hundred sixty-eight million, eight hundred fifty-six thousand, nine hundred fifty-two".