5205000013400 has 48 divisors (see below), whose sum is σ = 13201772766840. Its totient is φ = 1892727276800.

The previous prime is 5205000013393. The next prime is 5205000013403. The reversal of 5205000013400 is 43100005025.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205000013403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1182952349 + ... + 1182956748.

Almost surely, 2^{5205000013400} is an apocalyptic number.

5205000013400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5205000013400 is an abundant number, since it is smaller than the sum of its proper divisors (7996772753440).

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

5205000013400 is a wasteful number, since it uses less digits than its factorization.

5205000013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365909124 (or 2365909115 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 5205000013400 its reverse (43100005025), we get a palindrome (5248100018425).

The spelling of 5205000013400 in words is "five trillion, two hundred five billion, thirteen thousand, four hundred".