56305207296 has 384 divisors, whose sum is σ = 182025043200. Its totient is φ = 17306763264.

The previous prime is 56305207291. The next prime is 56305207363. The reversal of 56305207296 is 69270250365.

56305207296 is a `hidden beast` number, since 5 + 6 + 30 + 520 + 7 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56305207291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58226205 + ... + 58227171.

It is an arithmetic number, because the mean of its divisors is an integer number (474023550).

Almost surely, 2^56305207296 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 56305207296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91012521600).

56305207296 is an abundant number, since it is smaller than the sum of its proper divisors (125719835904).

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

56305207296 is an frugal number, since it uses more digits than its factorization.

56305207296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 56305207296 in words is "fifty-six billion, three hundred five million, two hundred seven thousand, two hundred ninety-six".