13870983404160 has 512 divisors, whose sum is σ = 50193901670400. Its totient is φ = 3619189555200.

The previous prime is 13870983404129. The next prime is 13870983404171. The reversal of 13870983404160 is 6140438907831.

13870983404160 is a `hidden beast` number, since 1 + 3 + 8 + 70 + 9 + 8 + 3 + 404 + 160 = 666.

It is a super-3 number, since 3×13870983404160³ (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13870983404097 and 13870983404106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201294832 + ... + 201363728.

It is an arithmetic number, because the mean of its divisors is an integer number (98034964200).

Almost surely, 2^{13870983404160} is an apocalyptic number.

13870983404160 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 13870983404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25096950835200).

13870983404160 is an abundant number, since it is smaller than the sum of its proper divisors (36322918266240).

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

13870983404160 is a wasteful number, since it uses less digits than its factorization.

13870983404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69177 (or 69159 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13870983404160 in words is "thirteen trillion, eight hundred seventy billion, nine hundred eighty-three million, four hundred four thousand, one hundred sixty".