5209556400 has 90 divisors (see below), whose sum is σ = 18078620300. Its totient is φ = 1389214080.

The previous prime is 5209556357. The next prime is 5209556423. The reversal of 5209556400 is 46559025.

5209556400 is a `hidden beast` number, since 5 + 2 + 0 + 9 + 5 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 719950 + ... + 727149.

Almost surely, 2^5209556400 is an apocalyptic number.

5209556400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5209556400 is an abundant number, since it is smaller than the sum of its proper divisors (12869063900).

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

5209556400 is a wasteful number, since it uses less digits than its factorization.

5209556400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447123 (or 1447109 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5209556400 is about 72177.2568057279. The cubic root of 5209556400 is about 1733.5388595871.

The spelling of 5209556400 in words is "five billion, two hundred nine million, five hundred fifty-six thousand, four hundred".