56271608979040 has 384 divisors, whose sum is σ = 168120816095232. Its totient is φ = 17322648698880.

The previous prime is 56271608979037. The next prime is 56271608979071. The reversal of 56271608979040 is 4097980617265.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150698809 + ... + 151071751.

It is an arithmetic number, because the mean of its divisors is an integer number (437814625248).

Almost surely, 2^{56271608979040} 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 56271608979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84060408047616).

56271608979040 is an abundant number, since it is smaller than the sum of its proper divisors (111849207116192).

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

56271608979040 is a wasteful number, since it uses less digits than its factorization.

56271608979040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373262 (or 373254 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 64.

The spelling of 56271608979040 in words is "fifty-six trillion, two hundred seventy-one billion, six hundred eight million, nine hundred seventy-nine thousand, forty".