10327202400 has 288 divisors, whose sum is σ = 35663217408. Its totient is φ = 2590156800.

The previous prime is 10327202351. The next prime is 10327202447. The reversal of 10327202400 is 420272301.

It is a super-2 number, since 2×10327202400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3365667 + ... + 3368733.

It is an arithmetic number, because the mean of its divisors is an integer number (123830616).

Almost surely, 2^10327202400 is an apocalyptic number.

10327202400 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 10327202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17831608704).

10327202400 is an abundant number, since it is smaller than the sum of its proper divisors (25336015008).

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

10327202400 is a wasteful number, since it uses less digits than its factorization.

10327202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

Adding to 10327202400 its reverse (420272301), we get a palindrome (10747474701).

The spelling of 10327202400 in words is "ten billion, three hundred twenty-seven million, two hundred two thousand, four hundred".