13006362378240 has 3040 divisors, whose sum is σ = 61096061689344. Its totient is φ = 2568423997440.

The previous prime is 13006362378239. The next prime is 13006362378253. The reversal of 13006362378240 is 4287326360031.

13006362378240 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 6 + 36 + 2 + 378 + 240 = 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 159 ways as a sum of consecutive naturals, for example, 302473543659 + ... + 302473543701.

Almost surely, 2^{13006362378240} is an apocalyptic number.

13006362378240 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 13006362378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30548030844672).

13006362378240 is an abundant number, since it is smaller than the sum of its proper divisors (48089699311104).

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

13006362378240 is an frugal number, since it uses more digits than its factorization.

13006362378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 13006362378240 in words is "thirteen trillion, six billion, three hundred sixty-two million, three hundred seventy-eight thousand, two hundred forty".