5144655600 has 480 divisors, whose sum is σ = 22163581440. Its totient is φ = 1106472960.

The previous prime is 5144655563. The next prime is 5144655601. The reversal of 5144655600 is 65564415.

5144655600 is a `hidden beast` number, since 5 + 1 + 4 + 46 + 5 + 5 + 600 = 666.

It is a super-2 number, since 2×5144655600² = 52934962485222720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144655601) 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, 1283199 + ... + 1287201.

It is an arithmetic number, because the mean of its divisors is an integer number (46174128).

Almost surely, 2^5144655600 is an apocalyptic number.

5144655600 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 5144655600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11081790720).

5144655600 is an abundant number, since it is smaller than the sum of its proper divisors (17018925840).

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

5144655600 is a wasteful number, since it uses less digits than its factorization.

5144655600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5144655600 is about 71726.2546073612. The cubic root of 5144655600 is about 1726.3099312880.

The spelling of 5144655600 in words is "five billion, one hundred forty-four million, six hundred fifty-five thousand, six hundred".