13780811385900 has 720 divisors, whose sum is σ = 48890757499584. Its totient is φ = 3337456711680.

The previous prime is 13780811385889. The next prime is 13780811385931. The reversal of 13780811385900 is 958311808731.

It is a happy number.

13780811385900 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 0 + 8 + 11 + 38 + 590 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1702802254 + ... + 1702810346.

Almost surely, 2^{13780811385900} is an apocalyptic number.

13780811385900 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 13780811385900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24445378749792).

13780811385900 is an abundant number, since it is smaller than the sum of its proper divisors (35109946113684).

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

13780811385900 is a wasteful number, since it uses less digits than its factorization.

13780811385900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392 (or 8376 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 13780811385900 in words is "thirteen trillion, seven hundred eighty billion, eight hundred eleven million, three hundred eighty-five thousand, nine hundred".