13006909085040 has 1280 divisors, whose sum is σ = 51599457423360. Its totient is φ = 2983276707840.

The previous prime is 13006909085003. The next prime is 13006909085089. The reversal of 13006909085040 is 4058090960031.

It is a happy number.

13006909085040 is a `hidden beast` number, since 130 + 0 + 6 + 9 + 0 + 9 + 0 + 8 + 504 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 39295797675 + ... + 39295798005.

It is an arithmetic number, because the mean of its divisors is an integer number (40312076112).

Almost surely, 2^{13006909085040} is an apocalyptic number.

13006909085040 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 13006909085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25799728711680).

13006909085040 is an abundant number, since it is smaller than the sum of its proper divisors (38592548338320).

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

13006909085040 is a wasteful number, since it uses less digits than its factorization.

13006909085040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 13006909085040 in words is "thirteen trillion, six billion, nine hundred nine million, eighty-five thousand, forty".