56546285979040 has 288 divisors, whose sum is σ = 157956449414400. Its totient is φ = 18962709442560.

The previous prime is 56546285979037. The next prime is 56546285979083. The reversal of 56546285979040 is 4097958264565.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317874441 + ... + 318052279.

It is an arithmetic number, because the mean of its divisors is an integer number (548459893800).

Almost surely, 2^{56546285979040} 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 56546285979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78978224707200).

56546285979040 is an abundant number, since it is smaller than the sum of its proper divisors (101410163435360).

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

56546285979040 is a wasteful number, since it uses less digits than its factorization.

56546285979040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178960 (or 178939 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 70.

The spelling of 56546285979040 in words is "fifty-six trillion, five hundred forty-six billion, two hundred eighty-five million, nine hundred seventy-nine thousand, forty".