56349417600 has 288 divisors, whose sum is σ = 229792405440. Its totient is φ = 12879820800.

The previous prime is 56349417589. The next prime is 56349417611. The reversal of 56349417600 is 671494365.

56349417600 is a `hidden beast` number, since 5 + 6 + 34 + 9 + 4 + 1 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (56349417589) and next prime (56349417611).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61845 + ... + 341355.

Almost surely, 2^56349417600 is an apocalyptic number.

56349417600 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 56349417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114896202720).

56349417600 is an abundant number, since it is smaller than the sum of its proper divisors (173442987840).

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

56349417600 is a wasteful number, since it uses less digits than its factorization.

56349417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279548 (or 279528 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 56349417600 in words is "fifty-six billion, three hundred forty-nine million, four hundred seventeen thousand, six hundred".