56582725578200 has 192 divisors, whose sum is σ = 142374478878720. Its totient is φ = 20851383168000.

The previous prime is 56582725578193. The next prime is 56582725578229. The reversal of 56582725578200 is 287552728565.

It is a Cunningham number, because it is equal to 7522149²-1.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29148332 + ... + 31028868.

It is an arithmetic number, because the mean of its divisors is an integer number (741533744160).

Almost surely, 2^{56582725578200} is an apocalyptic number.

56582725578200 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 56582725578200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71187239439360).

56582725578200 is an abundant number, since it is smaller than the sum of its proper divisors (85791753300520).

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

56582725578200 is a wasteful number, since it uses less digits than its factorization.

56582725578200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880818 (or 1880809 counting only the distinct ones).

The product of its (nonzero) digits is 94080000, while the sum is 62.

The spelling of 56582725578200 in words is "fifty-six trillion, five hundred eighty-two billion, seven hundred twenty-five million, five hundred seventy-eight thousand, two hundred".