5047431560400 has 240 divisors, whose sum is σ = 16717063968000. Its totient is φ = 1300812871680.

The previous prime is 5047431560393. The next prime is 5047431560401. The reversal of 5047431560400 is 40651347405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5047431560401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6234121 + ... + 6997079.

It is an arithmetic number, because the mean of its divisors is an integer number (69654433200).

Almost surely, 2^{5047431560400} is an apocalyptic number.

5047431560400 is a gapful number since it is divisible by the number (50) 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 5047431560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8358531984000).

5047431560400 is an abundant number, since it is smaller than the sum of its proper divisors (11669632407600).

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

5047431560400 is a wasteful number, since it uses less digits than its factorization.

5047431560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763166 (or 763155 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 5047431560400 in words is "five trillion, forty-seven billion, four hundred thirty-one million, five hundred sixty thousand, four hundred".