10836725760 has 624 divisors, whose sum is σ = 44283298176. Its totient is φ = 2399404032.

The previous prime is 10836725759. The next prime is 10836725761. The reversal of 10836725760 is 6752763801.

10836725760 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 6 + 72 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10836725759) and next prime (10836725761).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10836725761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47738767 + ... + 47738993.

It is an arithmetic number, because the mean of its divisors is an integer number (70966824).

Almost surely, 2^10836725760 is an apocalyptic number.

10836725760 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 10836725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22141649088).

10836725760 is an abundant number, since it is smaller than the sum of its proper divisors (33446572416).

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

10836725760 is a wasteful number, since it uses less digits than its factorization.

10836725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10836725760 in words is "ten billion, eight hundred thirty-six million, seven hundred twenty-five thousand, seven hundred sixty".