5100566400 has 576 divisors, whose sum is σ = 19533571200. Its totient is φ = 1264435200.

The previous prime is 5100566399. The next prime is 5100566437. The reversal of 5100566400 is 46650015.

It is a happy number.

5100566400 is a `hidden beast` number, since 5 + 10 + 0 + 5 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 25891102 + ... + 25891298.

It is an arithmetic number, because the mean of its divisors is an integer number (33912450).

Almost surely, 2^5100566400 is an apocalyptic number.

5100566400 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 5100566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9766785600).

5100566400 is an abundant number, since it is smaller than the sum of its proper divisors (14433004800).

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

5100566400 is a wasteful number, since it uses less digits than its factorization.

5100566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 267 counting only the distinct ones).

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

The square root of 5100566400 is about 71418.2497685291. The cubic root of 5100566400 is about 1721.3643402415.

The spelling of 5100566400 in words is "five billion, one hundred million, five hundred sixty-six thousand, four hundred".