5065538400 has 648 divisors, whose sum is σ = 20294544816. Its totient is φ = 1186099200.

The previous prime is 5065538371. The next prime is 5065538447. The reversal of 5065538400 is 48355605.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 27986310 + ... + 27986490.

It is an arithmetic number, because the mean of its divisors is an integer number (31318742).

Almost surely, 2^5065538400 is an apocalyptic number.

5065538400 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 5065538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10147272408).

5065538400 is an abundant number, since it is smaller than the sum of its proper divisors (15229006416).

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

5065538400 is a wasteful number, since it uses less digits than its factorization.

5065538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5065538400 is about 71172.5958498072. The cubic root of 5065538400 is about 1717.4148111545.

The spelling of 5065538400 in words is "five billion, sixty-five million, five hundred thirty-eight thousand, four hundred".