13767268900 has 288 divisors, whose sum is σ = 39547468800. Its totient is φ = 4030041600.

The previous prime is 13767268883. The next prime is 13767268937. The reversal of 13767268900 is 986276731.

It is a happy number.

13767268900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20335362 + ... + 20336038.

It is an arithmetic number, because the mean of its divisors is an integer number (137317600).

Almost surely, 2^13767268900 is an apocalyptic number.

13767268900 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 13767268900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19773734400).

13767268900 is an abundant number, since it is smaller than the sum of its proper divisors (25780199900).

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

13767268900 is a wasteful number, since it uses less digits than its factorization.

13767268900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The spelling of 13767268900 in words is "thirteen billion, seven hundred sixty-seven million, two hundred sixty-eight thousand, nine hundred".