10300612309680 has 1280 divisors, whose sum is σ = 42009928335360. Its totient is φ = 2025392947200.

The previous prime is 10300612309633. The next prime is 10300612309681. The reversal of 10300612309680 is 8690321600301.

It is a super-3 number, since 3×10300612309680³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10300612309681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15920575117 + ... + 15920575763.

It is an arithmetic number, because the mean of its divisors is an integer number (32820256512).

Almost surely, 2^{10300612309680} is an apocalyptic number.

10300612309680 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 10300612309680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21004964167680).

10300612309680 is an abundant number, since it is smaller than the sum of its proper divisors (31709316025680).

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

10300612309680 is a wasteful number, since it uses less digits than its factorization.

10300612309680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

Adding to 10300612309680 its reverse (8690321600301), we get a palindrome (18990933909981).

The spelling of 10300612309680 in words is "ten trillion, three hundred billion, six hundred twelve million, three hundred nine thousand, six hundred eighty".