13905229800 has 1152 divisors, whose sum is σ = 60253286400. Its totient is φ = 2612736000.

The previous prime is 13905229771. The next prime is 13905229801. The reversal of 13905229800 is 892250931.

It is not an unprimeable number, because it can be changed into a prime (13905229801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 190482564 + ... + 190482636.

It is an arithmetic number, because the mean of its divisors is an integer number (52303200).

Almost surely, 2^13905229800 is an apocalyptic number.

13905229800 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 13905229800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30126643200).

13905229800 is an abundant number, since it is smaller than the sum of its proper divisors (46348056600).

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

13905229800 is a wasteful number, since it uses less digits than its factorization.

13905229800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 13905229800 in words is "thirteen billion, nine hundred five million, two hundred twenty-nine thousand, eight hundred".