10050638976 has 256 divisors, whose sum is σ = 34731244800. Its totient is φ = 2801295360.

The previous prime is 10050638971. The next prime is 10050638999. The reversal of 10050638976 is 67983605001.

It is a happy number.

10050638976 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 0 + 638 + 9 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (10050638971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 986806 + ... + 996938.

It is an arithmetic number, because the mean of its divisors is an integer number (135668925).

Almost surely, 2^10050638976 is an apocalyptic number.

10050638976 is a gapful number since it is divisible by the number (16) 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 10050638976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17365622400).

10050638976 is an abundant number, since it is smaller than the sum of its proper divisors (24680605824).

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

10050638976 is a wasteful number, since it uses less digits than its factorization.

10050638976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10204 (or 10186 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10050638976 in words is "ten billion, fifty million, six hundred thirty-eight thousand, nine hundred seventy-six".