10012057600 has 336 divisors, whose sum is σ = 27303252480. Its totient is φ = 3627417600.

The previous prime is 10012057597. The next prime is 10012057609. The reversal of 10012057600 is 675021001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012057609) 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 23 ways as a sum of consecutive naturals, for example, 120627159 + ... + 120627241.

It is an arithmetic number, because the mean of its divisors is an integer number (81259680).

Almost surely, 2^10012057600 is an apocalyptic number.

10012057600 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 10012057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651626240).

10012057600 is an abundant number, since it is smaller than the sum of its proper divisors (17291194880).

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

10012057600 is an equidigital number, since it uses as much as digits as its factorization.

10012057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

Adding to 10012057600 its reverse (675021001), we get a palindrome (10687078601).

The spelling of 10012057600 in words is "ten billion, twelve million, fifty-seven thousand, six hundred".