10338660783360 has 1728 divisors, whose sum is σ = 46032329441280. Its totient is φ = 2083739074560.

The previous prime is 10338660783287. The next prime is 10338660783397. The reversal of 10338660783360 is 6338706683301.

10338660783360 is a `hidden beast` number, since 103 + 3 + 86 + 60 + 78 + 336 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10338660783297 and 10338660783306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2567333667 + ... + 2567337693.

Almost surely, 2^{10338660783360} is an apocalyptic number.

10338660783360 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 10338660783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23016164720640).

10338660783360 is an abundant number, since it is smaller than the sum of its proper divisors (35693668657920).

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

10338660783360 is a wasteful number, since it uses less digits than its factorization.

10338660783360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 10338660783360 in words is "ten trillion, three hundred thirty-eight billion, six hundred sixty million, seven hundred eighty-three thousand, three hundred sixty".