13210688010240 has 2304 divisors, whose sum is σ = 60904509120000. Its totient is φ = 2691494313984.

The previous prime is 13210688010193. The next prime is 13210688010251. The reversal of 13210688010240 is 4201088601231.

13210688010240 is a `hidden beast` number, since 1 + 321 + 0 + 6 + 8 + 80 + 10 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13210688010195 and 13210688010204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4375847451 + ... + 4375850469.

It is an arithmetic number, because the mean of its divisors is an integer number (26434248750).

Almost surely, 2^{13210688010240} is an apocalyptic number.

13210688010240 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 13210688010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30452254560000).

13210688010240 is an abundant number, since it is smaller than the sum of its proper divisors (47693821109760).

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

13210688010240 is a wasteful number, since it uses less digits than its factorization.

13210688010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 13210688010240 in words is "thirteen trillion, two hundred ten billion, six hundred eighty-eight million, ten thousand, two hundred forty".