5187560400 has 270 divisors, whose sum is σ = 19789286790. Its totient is φ = 1257484800.

The previous prime is 5187560351. The next prime is 5187560407. The reversal of 5187560400 is 40657815.

5187560400 is a `hidden beast` number, since 51 + 8 + 7 + 560 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 144288144 + 5043272256 = 12012^2 + 71016^2 .

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 (5187560407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 429646 + ... + 441554.

Almost surely, 2^5187560400 is an apocalyptic number.

5187560400 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 5187560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894643395).

5187560400 is an abundant number, since it is smaller than the sum of its proper divisors (14601726390).

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

5187560400 is a wasteful number, since it uses less digits than its factorization.

5187560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11955 (or 11930 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5187560400 is about 72024.7207561404. The cubic root of 5187560400 is about 1731.0956117022.

The spelling of 5187560400 in words is "five billion, one hundred eighty-seven million, five hundred sixty thousand, four hundred".