13785313345920 has 256 divisors, whose sum is σ = 51392616768000. Its totient is φ = 3482605393920.

The previous prime is 13785313345861. The next prime is 13785313345957. The reversal of 13785313345920 is 2954331358731.

It is a happy number.

13785313345920 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 5 + 3 + 13 + 34 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20665396 + ... + 21322035.

It is an arithmetic number, because the mean of its divisors is an integer number (200752409250).

Almost surely, 2^{13785313345920} is an apocalyptic number.

13785313345920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13785313345920 is an abundant number, since it is smaller than the sum of its proper divisors (37607303422080).

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

13785313345920 is a wasteful number, since it uses less digits than its factorization.

13785313345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41987478 (or 41987460 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 13785313345920 in words is "thirteen trillion, seven hundred eighty-five billion, three hundred thirteen million, three hundred forty-five thousand, nine hundred twenty".