54300260403200 has 288 divisors, whose sum is σ = 157617723070080. Its totient is φ = 18163148390400.

The previous prime is 54300260403197. The next prime is 54300260403251. The reversal of 54300260403200 is 230406200345.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12846749 + ... + 16542051.

It is an arithmetic number, because the mean of its divisors is an integer number (547283760660).

Almost surely, 2^{54300260403200} is an apocalyptic number.

54300260403200 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 54300260403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78808861535040).

54300260403200 is an abundant number, since it is smaller than the sum of its proper divisors (103317462666880).

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

54300260403200 is a wasteful number, since it uses less digits than its factorization.

54300260403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695383 (or 3695358 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 54300260403200 its reverse (230406200345), we get a palindrome (54530666603545).

The spelling of 54300260403200 in words is "fifty-four trillion, three hundred billion, two hundred sixty million, four hundred three thousand, two hundred".