13275420480 has 672 divisors, whose sum is σ = 56050525440. Its totient is φ = 2929747968.

The previous prime is 13275420467. The next prime is 13275420491. The reversal of 13275420480 is 8402457231.

It is a happy number.

13275420480 is a `hidden beast` number, since 1 + 32 + 7 + 542 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 457773106 + ... + 457773134.

It is an arithmetic number, because the mean of its divisors is an integer number (83408520).

Almost surely, 2^13275420480 is an apocalyptic number.

13275420480 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 13275420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28025262720).

13275420480 is an abundant number, since it is smaller than the sum of its proper divisors (42775104960).

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

13275420480 is an frugal number, since it uses more digits than its factorization.

13275420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 13275420480 in words is "thirteen billion, two hundred seventy-five million, four hundred twenty thousand, four hundred eighty".