10305939408336 has 800 divisors, whose sum is σ = 36075323281536. Its totient is φ = 2798240256000.

The previous prime is 10305939408311. The next prime is 10305939408383. The reversal of 10305939408336 is 63380493950301.

10305939408336 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 593 + 9 + 40 + 8 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3366852246 + ... + 3366855306.

Almost surely, 2^{10305939408336} is an apocalyptic number.

10305939408336 is a gapful number since it is divisible by the number (16) 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 10305939408336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18037661640768).

10305939408336 is an abundant number, since it is smaller than the sum of its proper divisors (25769383873200).

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

10305939408336 is a wasteful number, since it uses less digits than its factorization.

10305939408336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 10305939408336 in words is "ten trillion, three hundred five billion, nine hundred thirty-nine million, four hundred eight thousand, three hundred thirty-six".