54691756560 has 480 divisors, whose sum is σ = 217940336640. Its totient is φ = 12026068992.

The previous prime is 54691756547. The next prime is 54691756579. The reversal of 54691756560 is 6565719645.

54691756560 is a `hidden beast` number, since 5 + 4 + 6 + 9 + 1 + 75 + 6 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54691756497 and 54691756506.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 55978792 + ... + 55979768.

It is an arithmetic number, because the mean of its divisors is an integer number (454042368).

Almost surely, 2^54691756560 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 54691756560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108970168320).

54691756560 is an abundant number, since it is smaller than the sum of its proper divisors (163248580080).

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

54691756560 is a wasteful number, since it uses less digits than its factorization.

54691756560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 54691756560 in words is "fifty-four billion, six hundred ninety-one million, seven hundred fifty-six thousand, five hundred sixty".