5113141054400 has 252 divisors, whose sum is σ = 13649569803168. Its totient is φ = 1883982888960.

The previous prime is 5113141054339. The next prime is 5113141054409. The reversal of 5113141054400 is 44501413115.

It is a super-2 number, since 2×5113141054400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5113141054409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21615164 + ... + 21850436.

Almost surely, 2^{5113141054400} is an apocalyptic number.

5113141054400 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 5113141054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824784901584).

5113141054400 is an abundant number, since it is smaller than the sum of its proper divisors (8536428748768).

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

5113141054400 is a wasteful number, since it uses less digits than its factorization.

5113141054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235376 (or 235344 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 5113141054400 its reverse (44501413115), we get a palindrome (5157642467515).

The spelling of 5113141054400 in words is "five trillion, one hundred thirteen billion, one hundred forty-one million, fifty-four thousand, four hundred".