10838304825600 has 324 divisors, whose sum is σ = 41608449378384. Its totient is φ = 2477326602240.

The previous prime is 10838304825589. The next prime is 10838304825617. The reversal of 10838304825600 is 652840383801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10838304825600.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4819354 + ... + 6700953.

Almost surely, 2^{10838304825600} is an apocalyptic number.

10838304825600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10838304825600 is an abundant number, since it is smaller than the sum of its proper divisors (30770144552784).

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

10838304825600 is a wasteful number, since it uses less digits than its factorization.

10838304825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11520350 (or 11520324 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 10838304825600 in words is "ten trillion, eight hundred thirty-eight billion, three hundred four million, eight hundred twenty-five thousand, six hundred".