56657428424800 has 288 divisors, whose sum is σ = 158815889507520. Its totient is φ = 19334318284800.

The previous prime is 56657428424791. The next prime is 56657428424869. The reversal of 56657428424800 is 842482475665.

It is a super-2 number, since 2×56657428424800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 5792595910 + ... + 5792605690.

It is an arithmetic number, because the mean of its divisors is an integer number (551444060790).

Almost surely, 2^{56657428424800} is an apocalyptic number.

56657428424800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56657428424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79407944753760).

56657428424800 is an abundant number, since it is smaller than the sum of its proper divisors (102158461082720).

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

56657428424800 is a wasteful number, since it uses less digits than its factorization.

56657428424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14554 (or 14541 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 61.

The spelling of 56657428424800 in words is "fifty-six trillion, six hundred fifty-seven billion, four hundred twenty-eight million, four hundred twenty-four thousand, eight hundred".