13052840354400 has 1152 divisors, whose sum is σ = 56431788134400. Its totient is φ = 2538512179200.

The previous prime is 13052840354399. The next prime is 13052840354497. The reversal of 13052840354400 is 445304825031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 291407206 + ... + 291451994.

It is an arithmetic number, because the mean of its divisors is an integer number (48985927200).

Almost surely, 2^{13052840354400} is an apocalyptic number.

13052840354400 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 13052840354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28215894067200).

13052840354400 is an abundant number, since it is smaller than the sum of its proper divisors (43378947780000).

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

13052840354400 is a wasteful number, since it uses less digits than its factorization.

13052840354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44932 (or 44919 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 13052840354400 in words is "thirteen trillion, fifty-two billion, eight hundred forty million, three hundred fifty-four thousand, four hundred".