10825973142 has 16 divisors (see below), whose sum is σ = 21654198720. Its totient is φ = 3608282312.

The previous prime is 10825973129. The next prime is 10825973143. The reversal of 10825973142 is 24137952801.

10825973142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10825973094 and 10825973103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10825973143) 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 7 ways as a sum of consecutive naturals, for example, 27792 + ... + 149747.

It is an arithmetic number, because the mean of its divisors is an integer number (1353387420).

Almost surely, 2^10825973142 is an apocalyptic number.

10825973142 is an abundant number, since it is smaller than the sum of its proper divisors (10828225578).

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

10825973142 is a wasteful number, since it uses less digits than its factorization.

10825973142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187707.

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 10825973142 in words is "ten billion, eight hundred twenty-five million, nine hundred seventy-three thousand, one hundred forty-two".