10176420800 has 336 divisors, whose sum is σ = 31668598080. Its totient is φ = 3131965440.

The previous prime is 10176420799. The next prime is 10176420803. The reversal of 10176420800 is 802467101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10176420803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5386256 + ... + 5388144.

It is an arithmetic number, because the mean of its divisors is an integer number (94251780).

Almost surely, 2^10176420800 is an apocalyptic number.

10176420800 is a gapful number since it is divisible by the number (10) 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 10176420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15834299040).

10176420800 is an abundant number, since it is smaller than the sum of its proper divisors (21492177280).

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

10176420800 is a wasteful number, since it uses less digits than its factorization.

10176420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

Adding to 10176420800 its reverse (802467101), we get a palindrome (10978887901).

The spelling of 10176420800 in words is "ten billion, one hundred seventy-six million, four hundred twenty thousand, eight hundred".