10839338237952 has 1800 divisors, whose sum is σ = 41076669258240. Its totient is φ = 2829279559680.

The previous prime is 10839338237941. The next prime is 10839338237969. The reversal of 10839338237952 is 25973283393801.

It is a happy number.

10839338237952 is a `hidden beast` number, since 1 + 0 + 8 + 393 + 3 + 8 + 237 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 10839338237952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38301548403 + ... + 38301548685.

Almost surely, 2^{10839338237952} is an apocalyptic number.

10839338237952 is a gapful number since it is divisible by the number (12) 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 10839338237952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20538334629120).

10839338237952 is an abundant number, since it is smaller than the sum of its proper divisors (30237331020288).

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

10839338237952 is an equidigital number, since it uses as much as digits as its factorization.

10839338237952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 10839338237952 in words is "ten trillion, eight hundred thirty-nine billion, three hundred thirty-eight million, two hundred thirty-seven thousand, nine hundred fifty-two".