54052807680 has 704 divisors, whose sum is σ = 202210848000. Its totient is φ = 13674479616.

The previous prime is 54052807631. The next prime is 54052807717. The reversal of 54052807680 is 8670825045.

54052807680 is a `hidden beast` number, since 5 + 40 + 528 + 0 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388869051 + ... + 388869189.

Almost surely, 2^54052807680 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 54052807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101105424000).

54052807680 is an abundant number, since it is smaller than the sum of its proper divisors (148158040320).

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

54052807680 is a wasteful number, since it uses less digits than its factorization.

54052807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 54052807680 in words is "fifty-four billion, fifty-two million, eight hundred seven thousand, six hundred eighty".