10683786555936 has 480 divisors, whose sum is σ = 34002336126528. Its totient is φ = 3271371909120.

The previous prime is 10683786555881. The next prime is 10683786555943. The reversal of 10683786555936 is 63955568738601.

10683786555936 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 3 + 7 + 8 + 65 + 559 + 3 + 6 = 666.

It is a super-2 number, since 2×10683786555936² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8327190751 + ... + 8327192033.

Almost surely, 2^{10683786555936} is an apocalyptic number.

10683786555936 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 10683786555936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17001168063264).

10683786555936 is an abundant number, since it is smaller than the sum of its proper divisors (23318549570592).

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

10683786555936 is a wasteful number, since it uses less digits than its factorization.

10683786555936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 10683786555936 in words is "ten trillion, six hundred eighty-three billion, seven hundred eighty-six million, five hundred fifty-five thousand, nine hundred thirty-six".