13405885687500 has 168 divisors, whose sum is σ = 39202298204160. Its totient is φ = 3565549800000.

The previous prime is 13405885687463. The next prime is 13405885687501. The reversal of 13405885687500 is 578658850431.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (13405885687501) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 71719161 + ... + 71905839.

It is an arithmetic number, because the mean of its divisors is an integer number (233347013120).

Almost surely, 2^{13405885687500} is an apocalyptic number.

13405885687500 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 13405885687500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19601149102080).

13405885687500 is an abundant number, since it is smaller than the sum of its proper divisors (25796412516660).

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

13405885687500 is an equidigital number, since it uses as much as digits as its factorization.

13405885687500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187099 (or 187072 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 60.

The spelling of 13405885687500 in words is "thirteen trillion, four hundred five billion, eight hundred eighty-five million, six hundred eighty-seven thousand, five hundred".