10839211118400 has 336 divisors, whose sum is σ = 40752667344896. Its totient is φ = 2470780385280.

The previous prime is 10839211118311. The next prime is 10839211118401. The reversal of 10839211118400 is 481111293801.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10839211118401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11891697 + ... + 12770703.

Almost surely, 2^{10839211118400} is an apocalyptic number.

10839211118400 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 10839211118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20376333672448).

10839211118400 is an abundant number, since it is smaller than the sum of its proper divisors (29913456226496).

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

10839211118400 is a wasteful number, since it uses less digits than its factorization.

10839211118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879406 (or 879391 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 39.

The spelling of 10839211118400 in words is "ten trillion, eight hundred thirty-nine billion, two hundred eleven million, one hundred eighteen thousand, four hundred".