54546533245600 has 288 divisors, whose sum is σ = 147027739747392. Its totient is φ = 19595596800000.

The previous prime is 54546533245579. The next prime is 54546533245619. The reversal of 54546533245600 is 654233564545.

It is a super-2 number, since 2×54546533245600² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406114455 + ... + 406248745.

It is an arithmetic number, because the mean of its divisors is an integer number (510512985234).

Almost surely, 2^{54546533245600} is an apocalyptic number.

54546533245600 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 54546533245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73513869873696).

54546533245600 is an abundant number, since it is smaller than the sum of its proper divisors (92481206501792).

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

54546533245600 is a wasteful number, since it uses less digits than its factorization.

54546533245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134880 (or 134867 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 52.

The spelling of 54546533245600 in words is "fifty-four trillion, five hundred forty-six billion, five hundred thirty-three million, two hundred forty-five thousand, six hundred".