5144653656400 has 120 divisors (see below), whose sum is σ = 12571613490240. Its totient is φ = 2022645934080.

The previous prime is 5144653656383. The next prime is 5144653656403. The reversal of 5144653656400 is 46563564415.

It is a super-2 number, since 2×5144653656400² (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 (5144653656403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 179510872 + ... + 179539528.

It is an arithmetic number, because the mean of its divisors is an integer number (104763445752).

Almost surely, 2^{5144653656400} is an apocalyptic number.

5144653656400 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 5144653656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285806745120).

5144653656400 is an abundant number, since it is smaller than the sum of its proper divisors (7426959833840).

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

5144653656400 is a wasteful number, since it uses less digits than its factorization.

5144653656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36341 (or 36330 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 49.

The spelling of 5144653656400 in words is "five trillion, one hundred forty-four billion, six hundred fifty-three million, six hundred fifty-six thousand, four hundred".