5027256000 has 672 divisors, whose sum is σ = 19990466496. Its totient is φ = 1198080000.

The previous prime is 5027255993. The next prime is 5027256001. The reversal of 5027256000 is 6527205.

5027256000 is a `hidden beast` number, since 50 + 2 + 7 + 2 + 5 + 600 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5027256001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38375935 + ... + 38376065.

It is an arithmetic number, because the mean of its divisors is an integer number (29747718).

Almost surely, 2^5027256000 is an apocalyptic number.

5027256000 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 5027256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9995233248).

5027256000 is an abundant number, since it is smaller than the sum of its proper divisors (14963210496).

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

5027256000 is a wasteful number, since it uses less digits than its factorization.

5027256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5027256000 is about 70903.1452052728. The cubic root of 5027256000 is about 1713.0774581255.

The spelling of 5027256000 in words is "five billion, twenty-seven million, two hundred fifty-six thousand".