5061560400 has 600 divisors, whose sum is σ = 19984517784. Its totient is φ = 1219276800.

The previous prime is 5061560369. The next prime is 5061560411. The reversal of 5061560400 is 40651605.

It is a happy number.

5061560400 is a `hidden beast` number, since 5 + 0 + 61 + 560 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2153331216 + 2908229184 = 46404^2 + 53928^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent 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 119 ways as a sum of consecutive naturals, for example, 25693102 + ... + 25693298.

Almost surely, 2^5061560400 is an apocalyptic number.

5061560400 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 5061560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9992258892).

5061560400 is an abundant number, since it is smaller than the sum of its proper divisors (14922957384).

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

5061560400 is a wasteful number, since it uses less digits than its factorization.

5061560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5061560400 is about 71144.6442116341. The cubic root of 5061560400 is about 1716.9651277755.

The spelling of 5061560400 in words is "five billion, sixty-one million, five hundred sixty thousand, four hundred".