254800000056 has 256 divisors, whose sum is σ = 783634176000. Its totient is φ = 67453157376.

The previous prime is 254800000003. The next prime is 254800000057. The reversal of 254800000056 is 650000008452.

254800000056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 254799999969 and 254800000032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254800000057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33307720 + ... + 33315368.

It is an arithmetic number, because the mean of its divisors is an integer number (3061071000).

Almost surely, 2^254800000056 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 254800000056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391817088000).

254800000056 is an abundant number, since it is smaller than the sum of its proper divisors (528834175944).

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

254800000056 is a wasteful number, since it uses less digits than its factorization.

254800000056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958 (or 7954 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 254800000056 in words is "two hundred fifty-four billion, eight hundred million, fifty-six", and thus it is an aban number.