10836322560 has 864 divisors, whose sum is σ = 45857548800. Its totient is φ = 2445520896.

The previous prime is 10836322547. The next prime is 10836322561. The reversal of 10836322560 is 6522363801.

It is a happy number.

10836322560 is a `hidden beast` number, since 10 + 8 + 3 + 63 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10836322561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137168601 + ... + 137168679.

Almost surely, 2^10836322560 is an apocalyptic number.

10836322560 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 10836322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22928774400).

10836322560 is an abundant number, since it is smaller than the sum of its proper divisors (35021226240).

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

10836322560 is an frugal number, since it uses more digits than its factorization.

10836322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10836322560 in words is "ten billion, eight hundred thirty-six million, three hundred twenty-two thousand, five hundred sixty".