10786448900 has 72 divisors (see below), whose sum is σ = 23714044704. Its totient is φ = 4258240000.

The previous prime is 10786448857. The next prime is 10786448909. The reversal of 10786448900 is 984468701.

It is a super-2 number, since 2×10786448900² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10786448909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2834399 + ... + 2838201.

It is an arithmetic number, because the mean of its divisors is an integer number (329361732).

Almost surely, 2^10786448900 is an apocalyptic number.

10786448900 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 10786448900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11857022352).

10786448900 is an abundant number, since it is smaller than the sum of its proper divisors (12927595804).

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

10786448900 is a wasteful number, since it uses less digits than its factorization.

10786448900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 10786448900 in words is "ten billion, seven hundred eighty-six million, four hundred forty-eight thousand, nine hundred".