10039455972 has 144 divisors (see below), whose sum is σ = 31282672512. Its totient is φ = 2643632640.

The previous prime is 10039455947. The next prime is 10039456033. The reversal of 10039455972 is 27955493001.

It is a happy number.

10039455972 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 94 + 559 + 7 + 2 = 666.

10039455972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2491023 + ... + 2495049.

Almost surely, 2^10039455972 is an apocalyptic number.

10039455972 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 10039455972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15641336256).

10039455972 is an abundant number, since it is smaller than the sum of its proper divisors (21243216540).

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

10039455972 is a wasteful number, since it uses less digits than its factorization.

10039455972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 10039455972 in words is "ten billion, thirty-nine million, four hundred fifty-five thousand, nine hundred seventy-two".