5025560400 has 360 divisors, whose sum is σ = 21105774144. Its totient is φ = 1081036800.

The previous prime is 5025560377. The next prime is 5025560413. The reversal of 5025560400 is 40655205.

5025560400 is a `hidden beast` number, since 5 + 0 + 2 + 55 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 422535 + ... + 434265.

Almost surely, 2^5025560400 is an apocalyptic number.

5025560400 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 5025560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10552887072).

5025560400 is an abundant number, since it is smaller than the sum of its proper divisors (16080213744).

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

5025560400 is a wasteful number, since it uses less digits than its factorization.

5025560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11779 (or 11765 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5025560400 is about 70891.1870404213. The cubic root of 5025560400 is about 1712.8848400740.

The spelling of 5025560400 in words is "five billion, twenty-five million, five hundred sixty thousand, four hundred".