13578544980 has 1296 divisors, whose sum is σ = 61236145152. Its totient is φ = 2372198400.

The previous prime is 13578544901. The next prime is 13578544999. The reversal of 13578544980 is 8944587531.

13578544980 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 8 + 544 + 98 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 438017565 + ... + 438017595.

It is an arithmetic number, because the mean of its divisors is an integer number (47250112).

Almost surely, 2^13578544980 is an apocalyptic number.

13578544980 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 13578544980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30618072576).

13578544980 is an abundant number, since it is smaller than the sum of its proper divisors (47657600172).

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

13578544980 is a wasteful number, since it uses less digits than its factorization.

13578544980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 13578544980 in words is "thirteen billion, five hundred seventy-eight million, five hundred forty-four thousand, nine hundred eighty".