54480771028320 has 1536 divisors, whose sum is σ = 231760134144000. Its totient is φ = 10428719431680.

The previous prime is 54480771028319. The next prime is 54480771028379. The reversal of 54480771028320 is 2382017708445.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6054087181 + ... + 6054096179.

It is an arithmetic number, because the mean of its divisors is an integer number (150885504000).

Almost surely, 2^{54480771028320} 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 54480771028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115880067072000).

54480771028320 is an abundant number, since it is smaller than the sum of its proper divisors (177279363115680).

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

54480771028320 is a wasteful number, since it uses less digits than its factorization.

54480771028320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9348 (or 9340 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 54480771028320 in words is "fifty-four trillion, four hundred eighty billion, seven hundred seventy-one million, twenty-eight thousand, three hundred twenty".