13548932578272 has 864 divisors, whose sum is σ = 47613100600800. Its totient is φ = 3362178613248.

The previous prime is 13548932578213. The next prime is 13548932578283. The reversal of 13548932578272 is 27287523984531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3905715354 + ... + 3905718822.

It is an arithmetic number, because the mean of its divisors is an integer number (55107755325).

Almost surely, 2^{13548932578272} is an apocalyptic number.

13548932578272 is a gapful number since it is divisible by the number (12) 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 13548932578272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23806550300400).

13548932578272 is an abundant number, since it is smaller than the sum of its proper divisors (34064168022528).

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

13548932578272 is a wasteful number, since it uses less digits than its factorization.

13548932578272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3511 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 66.

The spelling of 13548932578272 in words is "thirteen trillion, five hundred forty-eight billion, nine hundred thirty-two million, five hundred seventy-eight thousand, two hundred seventy-two".