10838664495360 has 1296 divisors, whose sum is σ = 42820180236288. Its totient is φ = 2526319411200.

The previous prime is 10838664495299. The next prime is 10838664495377. The reversal of 10838664495360 is 6359446683801.

10838664495360 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 86 + 6 + 4 + 495 + 3 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2836602250 + ... + 2836606070.

It is an arithmetic number, because the mean of its divisors is an integer number (33040262528).

Almost surely, 2^{10838664495360} is an apocalyptic number.

10838664495360 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 10838664495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21410090118144).

10838664495360 is an abundant number, since it is smaller than the sum of its proper divisors (31981515740928).

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

10838664495360 is a wasteful number, since it uses less digits than its factorization.

10838664495360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 10838664495360 in words is "ten trillion, eight hundred thirty-eight billion, six hundred sixty-four million, four hundred ninety-five thousand, three hundred sixty".