54827508849120 has 1152 divisors, whose sum is σ = 242818826664960. Its totient is φ = 10963179601920.

The previous prime is 54827508849107. The next prime is 54827508849121. The reversal of 54827508849120 is 2194880572845.

54827508849120 is a `hidden beast` number, since 5 + 4 + 8 + 27 + 508 + 84 + 9 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54827508849121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 172400655 + ... + 172718385.

It is an arithmetic number, because the mean of its divisors is an integer number (210780231480).

Almost surely, 2^{54827508849120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54827508849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121409413332480).

54827508849120 is an abundant number, since it is smaller than the sum of its proper divisors (187991317815840).

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

54827508849120 is a wasteful number, since it uses less digits than its factorization.

54827508849120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317848 (or 317837 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 54827508849120 in words is "fifty-four trillion, eight hundred twenty-seven billion, five hundred eight million, eight hundred forty-nine thousand, one hundred twenty".