10826315136 has 384 divisors, whose sum is σ = 38994795840. Its totient is φ = 2806824960.

The previous prime is 10826315113. The next prime is 10826315167. The reversal of 10826315136 is 63151362801.

10826315136 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 631 + 5 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10826315136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6393906 + ... + 6395598.

Almost surely, 2^10826315136 is an apocalyptic number.

10826315136 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 10826315136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19497397920).

10826315136 is an abundant number, since it is smaller than the sum of its proper divisors (28168480704).

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

10826315136 is a wasteful number, since it uses less digits than its factorization.

10826315136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 10826315136 its reverse (63151362801), we get a palindrome (73977677937).

The spelling of 10826315136 in words is "ten billion, eight hundred twenty-six million, three hundred fifteen thousand, one hundred thirty-six".