10820039118336 has 1200 divisors, whose sum is σ = 39113023950000. Its totient is φ = 2982448594944.

The previous prime is 10820039118331. The next prime is 10820039118341. The reversal of 10820039118336 is 63381193002801.

10820039118336 is a `hidden beast` number, since 1 + 0 + 82 + 0 + 0 + 391 + 183 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10820039118331) and next prime (10820039118341).

It is a super-2 number, since 2×10820039118336² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10820039118291 and 10820039118300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820039118331) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8662961040 + ... + 8662962288.

It is an arithmetic number, because the mean of its divisors is an integer number (32594186625).

Almost surely, 2^{10820039118336} is an apocalyptic number.

10820039118336 is a gapful number since it is divisible by the number (16) 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 10820039118336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19556511975000).

10820039118336 is an abundant number, since it is smaller than the sum of its proper divisors (28292984831664).

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

10820039118336 is an frugal number, since it uses more digits than its factorization.

10820039118336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1290 counting only the distinct ones).

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

The spelling of 10820039118336 in words is "ten trillion, eight hundred twenty billion, thirty-nine million, one hundred eighteen thousand, three hundred thirty-six".