56292814200 has 192 divisors, whose sum is σ = 199557227520. Its totient is φ = 12859200000.

The previous prime is 56292814139. The next prime is 56292814217. The reversal of 56292814200 is 241829265.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 9871350 + ... + 9877050.

It is an arithmetic number, because the mean of its divisors is an integer number (1039360560).

Almost surely, 2^56292814200 is an apocalyptic number.

56292814200 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 56292814200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99778613760).

56292814200 is an abundant number, since it is smaller than the sum of its proper divisors (143264413320).

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

56292814200 is a wasteful number, since it uses less digits than its factorization.

56292814200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078 (or 8069 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 56292814200 in words is "fifty-six billion, two hundred ninety-two million, eight hundred fourteen thousand, two hundred".