13107942605520 has 1680 divisors, whose sum is σ = 57032798060160. Its totient is φ = 2739641812992.

The previous prime is 13107942605503. The next prime is 13107942605551. The reversal of 13107942605520 is 2550624970131.

13107942605520 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 7 + 94 + 2 + 6 + 0 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 4273863027 + ... + 4273866093.

Almost surely, 2^{13107942605520} is an apocalyptic number.

13107942605520 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 13107942605520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28516399030080).

13107942605520 is an abundant number, since it is smaller than the sum of its proper divisors (43924855454640).

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

13107942605520 is a wasteful number, since it uses less digits than its factorization.

13107942605520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 13107942605520 in words is "thirteen trillion, one hundred seven billion, nine hundred forty-two million, six hundred five thousand, five hundred twenty".