56606894400 has 336 divisors, whose sum is σ = 212783952384. Its totient is φ = 12906117120.

The previous prime is 56606894353. The next prime is 56606894417. The reversal of 56606894400 is 449860665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×56606894400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56606894400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14882899 + ... + 14886701.

Almost surely, 2^56606894400 is an apocalyptic number.

56606894400 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 56606894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106391976192).

56606894400 is an abundant number, since it is smaller than the sum of its proper divisors (156177057984).

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

56606894400 is a wasteful number, since it uses less digits than its factorization.

56606894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 56606894400 in words is "fifty-six billion, six hundred six million, eight hundred ninety-four thousand, four hundred".