54683778240 has 896 divisors, whose sum is σ = 239482091520. Its totient is φ = 11438309376.

The previous prime is 54683778223. The next prime is 54683778311. The reversal of 54683778240 is 4287738645.

54683778240 is a `hidden beast` number, since 546 + 8 + 3 + 7 + 78 + 24 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 123439459 + ... + 123439901.

It is an arithmetic number, because the mean of its divisors is an integer number (267279120).

Almost surely, 2^54683778240 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 54683778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119741045760).

54683778240 is an abundant number, since it is smaller than the sum of its proper divisors (184798313280).

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

54683778240 is a wasteful number, since it uses less digits than its factorization.

54683778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 54683778240 in words is "fifty-four billion, six hundred eighty-three million, seven hundred seventy-eight thousand, two hundred forty".