13820103689856 has 128 divisors (see below), whose sum is σ = 38311538803200. Its totient is φ = 4405740776448.

The previous prime is 13820103689827. The next prime is 13820103689939. The reversal of 13820103689856 is 65898630102831.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 13820103689856.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59756715 + ... + 59987541.

It is an arithmetic number, because the mean of its divisors is an integer number (299308896900).

Almost surely, 2^{13820103689856} is an apocalyptic number.

13820103689856 is a gapful number since it is divisible by the number (16) 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 13820103689856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19155769401600).

13820103689856 is an abundant number, since it is smaller than the sum of its proper divisors (24491435113344).

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

13820103689856 is a wasteful number, since it uses less digits than its factorization.

13820103689856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237646 (or 237634 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 13820103689856 in words is "thirteen trillion, eight hundred twenty billion, one hundred three million, six hundred eighty-nine thousand, eight hundred fifty-six".