13830725685504 has 576 divisors, whose sum is σ = 47732586854400. Its totient is φ = 3452519448576.

The previous prime is 13830725685481. The next prime is 13830725685529. The reversal of 13830725685504 is 40558652703831.

It is a super-3 number, since 3×13830725685504³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 1671786712 + ... + 1671794984.

It is an arithmetic number, because the mean of its divisors is an integer number (82869074400).

Almost surely, 2^{13830725685504} is an apocalyptic number.

13830725685504 is a gapful number since it is divisible by the number (14) 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 13830725685504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23866293427200).

13830725685504 is an abundant number, since it is smaller than the sum of its proper divisors (33901861168896).

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

13830725685504 is a wasteful number, since it uses less digits than its factorization.

13830725685504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9590 (or 9576 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 13830725685504 in words is "thirteen trillion, eight hundred thirty billion, seven hundred twenty-five million, six hundred eighty-five thousand, five hundred four".