13052829205440 has 1344 divisors, whose sum is σ = 49190916096000. Its totient is φ = 3257517441024.

The previous prime is 13052829205439. The next prime is 13052829205487. The reversal of 13052829205440 is 4450292825031.

13052829205440 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 2 + 82 + 9 + 20 + 544 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 65592106461 + ... + 65592106659.

It is an arithmetic number, because the mean of its divisors is an integer number (36600384000).

Almost surely, 2^{13052829205440} is an apocalyptic number.

13052829205440 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 13052829205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24595458048000).

13052829205440 is an abundant number, since it is smaller than the sum of its proper divisors (36138086890560).

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

13052829205440 is a wasteful number, since it uses less digits than its factorization.

13052829205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 13052829205440 in words is "thirteen trillion, fifty-two billion, eight hundred twenty-nine million, two hundred five thousand, four hundred forty".