5027413600 has 288 divisors, whose sum is σ = 14241588480. Its totient is φ = 1714944000.

The previous prime is 5027413597. The next prime is 5027413603. The reversal of 5027413600 is 63147205.

It is an interprime number because it is at equal distance from previous prime (5027413597) and next prime (5027413603).

It is a super-3 number, since 3×5027413600³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5027413603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11941390 + ... + 11941810.

It is an arithmetic number, because the mean of its divisors is an integer number (49449960).

Almost surely, 2^5027413600 is an apocalyptic number.

5027413600 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 5027413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7120794240).

5027413600 is an abundant number, since it is smaller than the sum of its proper divisors (9214174880).

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

5027413600 is a wasteful number, since it uses less digits than its factorization.

5027413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 5027413600 is about 70904.2565718025. The cubic root of 5027413600 is about 1713.0953590895.

The spelling of 5027413600 in words is "five billion, twenty-seven million, four hundred thirteen thousand, six hundred".