13405503540500 has 48 divisors (see below), whose sum is σ = 30068906793744. Its totient is φ = 5217277046400.

The previous prime is 13405503540493. The next prime is 13405503540563. The reversal of 13405503540500 is 504530550431.

It can be written as a sum of positive squares in 8 ways, for example, as 1751445790084 + 11654057750416 = 1323422^2 + 3413804^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362292407 + ... + 362329406.

It is an arithmetic number, because the mean of its divisors is an integer number (626435558203).

Almost surely, 2^{13405503540500} is an apocalyptic number.

13405503540500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13405503540500 is an abundant number, since it is smaller than the sum of its proper divisors (16663403253244).

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

13405503540500 is a wasteful number, since it uses less digits than its factorization.

13405503540500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724621869 (or 724621857 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

The spelling of 13405503540500 in words is "thirteen trillion, four hundred five billion, five hundred three million, five hundred forty thousand, five hundred".