13086254039040 has 3024 divisors, whose sum is σ = 60362225774928. Its totient is φ = 2696845197312.

The previous prime is 13086254038981. The next prime is 13086254039057. The reversal of 13086254039040 is 4093045268031.

13086254039040 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 6 + 254 + 0 + 390 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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 167 ways as a sum of consecutive naturals, for example, 304331489259 + ... + 304331489301.

It is an arithmetic number, because the mean of its divisors is an integer number (19961053497).

Almost surely, 2^{13086254039040} is an apocalyptic number.

13086254039040 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 13086254039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30181112887464).

13086254039040 is an abundant number, since it is smaller than the sum of its proper divisors (47275971735888).

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

13086254039040 is an frugal number, since it uses more digits than its factorization.

13086254039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13086254039040 in words is "thirteen trillion, eighty-six billion, two hundred fifty-four million, thirty-nine thousand, forty".