13275924480 has 576 divisors, whose sum is σ = 56665889280. Its totient is φ = 2799304704.

The previous prime is 13275924391. The next prime is 13275924503. The reversal of 13275924480 is 8442957231.

13275924480 is a `hidden beast` number, since 1 + 327 + 5 + 9 + 244 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8385769 + ... + 8387351.

It is an arithmetic number, because the mean of its divisors is an integer number (98378280).

Almost surely, 2^13275924480 is an apocalyptic number.

13275924480 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 13275924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28332944640).

13275924480 is an abundant number, since it is smaller than the sum of its proper divisors (43389964800).

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

13275924480 is a wasteful number, since it uses less digits than its factorization.

13275924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13275924480 in words is "thirteen billion, two hundred seventy-five million, nine hundred twenty-four thousand, four hundred eighty".