13853958186380 has 576 divisors, whose sum is σ = 35283876566400. Its totient is φ = 4526453145600.

The previous prime is 13853958186353. The next prime is 13853958186401. The reversal of 13853958186380 is 8368185935831.

It is a super-3 number, since 3×13853958186380³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13853958186380.

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 191 ways as a sum of consecutive naturals, for example, 21215862134 + ... + 21215862786.

It is an arithmetic number, because the mean of its divisors is an integer number (61256730150).

Almost surely, 2^{13853958186380} is an apocalyptic number.

13853958186380 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 13853958186380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641938283200).

13853958186380 is an abundant number, since it is smaller than the sum of its proper divisors (21429918380020).

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

13853958186380 is a wasteful number, since it uses less digits than its factorization.

13853958186380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 68.

The spelling of 13853958186380 in words is "thirteen trillion, eight hundred fifty-three billion, nine hundred fifty-eight million, one hundred eighty-six thousand, three hundred eighty".