13051089806040 has 512 divisors, whose sum is σ = 52490514585600. Its totient is φ = 2841589278720.

The previous prime is 13051089806021. The next prime is 13051089806047. The reversal of 13051089806040 is 4060898015031.

13051089806040 is a `hidden beast` number, since 1 + 3 + 0 + 510 + 8 + 98 + 0 + 6 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13051089806047) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 4572309 + ... + 6856251.

It is an arithmetic number, because the mean of its divisors is an integer number (102520536300).

Almost surely, 2^{13051089806040} is an apocalyptic number.

13051089806040 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 13051089806040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26245257292800).

13051089806040 is an abundant number, since it is smaller than the sum of its proper divisors (39439424779560).

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

13051089806040 is a wasteful number, since it uses less digits than its factorization.

13051089806040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284024 (or 2284014 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 13051089806040 in words is "thirteen trillion, fifty-one billion, eighty-nine million, eight hundred six thousand, forty".