13475481600 has 576 divisors, whose sum is σ = 51866680320. Its totient is φ = 3022848000.

The previous prime is 13475481583. The next prime is 13475481611. The reversal of 13475481600 is 618457431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89241525 + ... + 89241675.

It is an arithmetic number, because the mean of its divisors is an integer number (90046320).

Almost surely, 2^13475481600 is an apocalyptic number.

13475481600 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 13475481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25933340160).

13475481600 is an abundant number, since it is smaller than the sum of its proper divisors (38391198720).

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

13475481600 is a wasteful number, since it uses less digits than its factorization.

13475481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 13475481600 in words is "thirteen billion, four hundred seventy-five million, four hundred eighty-one thousand, six hundred".