13955479200 has 432 divisors, whose sum is σ = 54667751040. Its totient is φ = 3434296320.

The previous prime is 13955479177. The next prime is 13955479217. The reversal of 13955479200 is 297455931.

It is a happy number.

13955479200 is a `hidden beast` number, since 1 + 3 + 9 + 554 + 7 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3648489 + ... + 3652311.

It is an arithmetic number, because the mean of its divisors is an integer number (126545720).

Almost surely, 2^13955479200 is an apocalyptic number.

13955479200 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 13955479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27333875520).

13955479200 is an abundant number, since it is smaller than the sum of its proper divisors (40712271840).

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

13955479200 is a wasteful number, since it uses less digits than its factorization.

13955479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 13955479200 in words is "thirteen billion, nine hundred fifty-five million, four hundred seventy-nine thousand, two hundred".