5065262400 has 672 divisors, whose sum is σ = 19556748288. Its totient is φ = 1135411200.

The previous prime is 5065262399. The next prime is 5065262431. The reversal of 5065262400 is 42625605.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52219152 + ... + 52219248.

It is an arithmetic number, because the mean of its divisors is an integer number (29102304).

Almost surely, 2^5065262400 is an apocalyptic number.

5065262400 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 5065262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9778374144).

5065262400 is an abundant number, since it is smaller than the sum of its proper divisors (14491485888).

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

5065262400 is a wasteful number, since it uses less digits than its factorization.

5065262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5065262400 is about 71170.6568748666. The cubic root of 5065262400 is about 1717.3836190047.

The spelling of 5065262400 in words is "five billion, sixty-five million, two hundred sixty-two thousand, four hundred".