10801836000 has 288 divisors, whose sum is σ = 39759134688. Its totient is φ = 2880230400.

The previous prime is 10801835999. The next prime is 10801836007. The reversal of 10801836000 is 63810801.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10801836007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966444 + ... + 977556.

It is an arithmetic number, because the mean of its divisors is an integer number (138052551).

Almost surely, 2^10801836000 is an apocalyptic number.

10801836000 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 10801836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19879567344).

10801836000 is an abundant number, since it is smaller than the sum of its proper divisors (28957298688).

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

10801836000 is an equidigital number, since it uses as much as digits as its factorization.

10801836000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11153 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10801836000 in words is "ten billion, eight hundred one million, eight hundred thirty-six thousand".