5294559600 has 480 divisors, whose sum is σ = 21078650880. Its totient is φ = 1251072000.

The previous prime is 5294559581. The next prime is 5294559619. The reversal of 5294559600 is 69554925.

It is a happy number.

5294559600 is a `hidden beast` number, since 5 + 2 + 94 + 559 + 6 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5294559581) and next prime (5294559619).

It is a super-2 number, since 2×5294559600² = 56064722715904320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4870257 + ... + 4871343.

It is an arithmetic number, because the mean of its divisors is an integer number (43913856).

Almost surely, 2^5294559600 is an apocalyptic number.

5294559600 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 5294559600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10539325440).

5294559600 is an abundant number, since it is smaller than the sum of its proper divisors (15784091280).

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

5294559600 is a wasteful number, since it uses less digits than its factorization.

5294559600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 5294559600 is about 72763.7244786164. The cubic root of 5294559600 is about 1742.9166303392.

The spelling of 5294559600 in words is "five billion, two hundred ninety-four million, five hundred fifty-nine thousand, six hundred".