54541564506600 has 192 divisors, whose sum is σ = 169460360509440. Its totient is φ = 14511618374400.

The previous prime is 54541564506563. The next prime is 54541564506607. The reversal of 54541564506600 is 660546514545.

It is not an unprimeable number, because it can be changed into a prime (54541564506607) 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, 962396265 + ... + 962452935.

It is an arithmetic number, because the mean of its divisors is an integer number (882606044320).

Almost surely, 2^{54541564506600} is an apocalyptic number.

54541564506600 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 54541564506600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84730180254720).

54541564506600 is an abundant number, since it is smaller than the sum of its proper divisors (114918796002840).

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

54541564506600 is a wasteful number, since it uses less digits than its factorization.

54541564506600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60280 (or 60271 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 51.

The spelling of 54541564506600 in words is "fifty-four trillion, five hundred forty-one billion, five hundred sixty-four million, five hundred six thousand, six hundred".