54780295680 has 640 divisors, whose sum is σ = 214545196800. Its totient is φ = 13138329600.

The previous prime is 54780295673. The next prime is 54780295681. The reversal of 54780295680 is 8659208745.

54780295680 is a `hidden beast` number, since 5 + 4 + 78 + 0 + 2 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54780295681) by changing a digit.

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, 82874550 + ... + 82875210.

It is an arithmetic number, because the mean of its divisors is an integer number (335226870).

Almost surely, 2^54780295680 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 54780295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107272598400).

54780295680 is an abundant number, since it is smaller than the sum of its proper divisors (159764901120).

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

54780295680 is a wasteful number, since it uses less digits than its factorization.

54780295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 54780295680 in words is "fifty-four billion, seven hundred eighty million, two hundred ninety-five thousand, six hundred eighty".