10939283820000 has 960 divisors, whose sum is σ = 42562405670400. Its totient is φ = 2724503040000.

The previous prime is 10939283819999. The next prime is 10939283820041. The reversal of 10939283820000 is 2838293901.

10939283820000 is a `hidden beast` number, since 109 + 392 + 83 + 82 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 728452492 + ... + 728467508.

It is an arithmetic number, because the mean of its divisors is an integer number (44335839240).

Almost surely, 2^{10939283820000} is an apocalyptic number.

10939283820000 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 10939283820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21281202835200).

10939283820000 is an abundant number, since it is smaller than the sum of its proper divisors (31623121850400).

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

10939283820000 is a wasteful number, since it uses less digits than its factorization.

10939283820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15146 (or 15117 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10939283820000 in words is "ten trillion, nine hundred thirty-nine billion, two hundred eighty-three million, eight hundred twenty thousand".