5185497600 has 180 divisors, whose sum is σ = 18557876766. Its totient is φ = 1382768640.

The previous prime is 5185497599. The next prime is 5185497601. The reversal of 5185497600 is 67945815.

It is an interprime number because it is at equal distance from previous prime (5185497599) and next prime (5185497601).

It can be written as a sum of positive squares in 3 ways, for example, as 2290196736 + 2895300864 = 47856^2 + 53808^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (5185497601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 92694 + ... + 137706.

Almost surely, 2^5185497600 is an apocalyptic number.

5185497600 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 5185497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9278938383).

5185497600 is an abundant number, since it is smaller than the sum of its proper divisors (13372379166).

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

5185497600 is a wasteful number, since it uses less digits than its factorization.

5185497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45047 (or 45023 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5185497600 is about 72010.3992489974. The cubic root of 5185497600 is about 1730.8661282731.

The spelling of 5185497600 in words is "five billion, one hundred eighty-five million, four hundred ninety-seven thousand, six hundred".