13353054480 has 240 divisors, whose sum is σ = 45627079680. Its totient is φ = 3499161600.

The previous prime is 13353054467. The next prime is 13353054503. The reversal of 13353054480 is 8445035331.

13353054480 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 30 + 544 + 80 = 666.

13353054480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12238735 + ... + 12239825.

It is an arithmetic number, because the mean of its divisors is an integer number (190112832).

Almost surely, 2^13353054480 is an apocalyptic number.

13353054480 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 13353054480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22813539840).

13353054480 is an abundant number, since it is smaller than the sum of its proper divisors (32274025200).

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

13353054480 is a wasteful number, since it uses less digits than its factorization.

13353054480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 13353054480 in words is "thirteen billion, three hundred fifty-three million, fifty-four thousand, four hundred eighty".