5294017600 has 189 divisors, whose sum is σ = 13968472063. Its totient is φ = 1974415360.

The previous prime is 5294017567. The next prime is 5294017613. The reversal of 5294017600 is 67104925.

The square root of 5294017600 is 72760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 123832384 + 5170185216 = 11128^2 + 71904^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49476747 + ... + 49476853.

Almost surely, 2^5294017600 is an apocalyptic number.

5294017600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5294017600 is the 72760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5294017600

5294017600 is an abundant number, since it is smaller than the sum of its proper divisors (8674454463).

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

5294017600 is a wasteful number, since it uses less digits than its factorization.

5294017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The cubic root of 5294017600 is about 1742.8571546307.

The spelling of 5294017600 in words is "five billion, two hundred ninety-four million, seventeen thousand, six hundred".