56192228400 has 960 divisors, whose sum is σ = 241040572416. Its totient is φ = 10831872000.

The previous prime is 56192228347. The next prime is 56192228419. The reversal of 56192228400 is 482229165.

It is a Cunningham number, because it is equal to 237049²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130376185 + ... + 130376615.

Almost surely, 2^56192228400 is an apocalyptic number.

56192228400 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 56192228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120520286208).

56192228400 is an abundant number, since it is smaller than the sum of its proper divisors (184848344016).

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

56192228400 is a wasteful number, since it uses less digits than its factorization.

56192228400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 559 counting only the distinct ones).

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

The spelling of 56192228400 in words is "fifty-six billion, one hundred ninety-two million, two hundred twenty-eight thousand, four hundred".