5626252800 has 360 divisors, whose sum is σ = 23014504656. Its totient is φ = 1285816320.

The previous prime is 5626252771. The next prime is 5626252813. The reversal of 5626252800 is 82526265.

5626252800 is a `hidden beast` number, since 5 + 6 + 2 + 625 + 28 + 0 + 0 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 802912 + ... + 809888.

Almost surely, 2^5626252800 is an apocalyptic number.

5626252800 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 5626252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11507252328).

5626252800 is an abundant number, since it is smaller than the sum of its proper divisors (17388251856).

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

5626252800 is a wasteful number, since it uses less digits than its factorization.

5626252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7018 (or 6994 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5626252800 is about 75008.3515350124. The cubic root of 5626252800 is about 1778.5786743237.

The spelling of 5626252800 in words is "five billion, six hundred twenty-six million, two hundred fifty-two thousand, eight hundred".