10238661006300 has 720 divisors, whose sum is σ = 34682430182400. Its totient is φ = 2609893094400.

The previous prime is 10238661006271. The next prime is 10238661006313. The reversal of 10238661006300 is 360016683201.

10238661006300 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 8 + 6 + 6 + 10 + 0 + 630 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8132375071 + ... + 8132376329.

It is an arithmetic number, because the mean of its divisors is an integer number (48170041920).

Almost surely, 2^{10238661006300} is an apocalyptic number.

10238661006300 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 10238661006300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17341215091200).

10238661006300 is an abundant number, since it is smaller than the sum of its proper divisors (24443769176100).

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

10238661006300 is a wasteful number, since it uses less digits than its factorization.

10238661006300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 10238661006300 its reverse (360016683201), we get a palindrome (10598677689501).

The spelling of 10238661006300 in words is "ten trillion, two hundred thirty-eight billion, six hundred sixty-one million, six thousand, three hundred".