13471920000 has 1280 divisors, whose sum is σ = 62709926400. Its totient is φ = 2799360000.

The previous prime is 13471919969. The next prime is 13471920001. The reversal of 13471920000 is 2917431.

13471920000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13471920001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 1224719995 + ... + 1224720005.

It is an arithmetic number, because the mean of its divisors is an integer number (48992130).

Almost surely, 2^13471920000 is an apocalyptic number.

13471920000 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 13471920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31354963200).

13471920000 is an abundant number, since it is smaller than the sum of its proper divisors (49238006400).

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

13471920000 is an frugal number, since it uses more digits than its factorization.

13471920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 13471920000 in words is "thirteen billion, four hundred seventy-one million, nine hundred twenty thousand".