54595776480 has 768 divisors, whose sum is σ = 218308608000. Its totient is φ = 11420559360.

The previous prime is 54595776467. The next prime is 54595776481. The reversal of 54595776480 is 8467759545.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54595776481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96972679 + ... + 96973241.

It is an arithmetic number, because the mean of its divisors is an integer number (284256000).

Almost surely, 2^54595776480 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 54595776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109154304000).

54595776480 is an abundant number, since it is smaller than the sum of its proper divisors (163712831520).

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

54595776480 is a wasteful number, since it uses less digits than its factorization.

54595776480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 60.

The spelling of 54595776480 in words is "fifty-four billion, five hundred ninety-five million, seven hundred seventy-six thousand, four hundred eighty".