13092642642240 has 672 divisors, whose sum is σ = 53198510376960. Its totient is φ = 2892157747200.

The previous prime is 13092642642199. The next prime is 13092642642241. The reversal of 13092642642240 is 4224624629031.

13092642642240 is a `hidden beast` number, since 1 + 3 + 0 + 92 + 64 + 264 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 (13092642642241) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 475580796 + ... + 475608324.

Almost surely, 2^{13092642642240} is an apocalyptic number.

13092642642240 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 13092642642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26599255188480).

13092642642240 is an abundant number, since it is smaller than the sum of its proper divisors (40105867734720).

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

13092642642240 is a wasteful number, since it uses less digits than its factorization.

13092642642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28351 (or 28338 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 13092642642240 in words is "thirteen trillion, ninety-two billion, six hundred forty-two million, six hundred forty-two thousand, two hundred forty".