13027547520 has 480 divisors, whose sum is σ = 50411639520. Its totient is φ = 3204624384.

The previous prime is 13027547483. The next prime is 13027547527. The reversal of 13027547520 is 2574572031.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13027547527) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8760217 + ... + 8761703.

It is an arithmetic number, because the mean of its divisors is an integer number (105024249).

Almost surely, 2^13027547520 is an apocalyptic number.

13027547520 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 13027547520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25205819760).

13027547520 is an abundant number, since it is smaller than the sum of its proper divisors (37384092000).

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

13027547520 is a wasteful number, since it uses less digits than its factorization.

13027547520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 13027547520 in words is "thirteen billion, twenty-seven million, five hundred forty-seven thousand, five hundred twenty".