5625962452800 has 504 divisors, whose sum is σ = 20189258519040. Its totient is φ = 1485827481600.

The previous prime is 5625962452793. The next prime is 5625962452871. The reversal of 5625962452800 is 82542695265.

It is a happy number.

5625962452800 is a `hidden beast` number, since 5 + 6 + 2 + 5 + 9 + 624 + 5 + 2 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 640838811 + ... + 640847589.

Almost surely, 2^{5625962452800} is an apocalyptic number.

5625962452800 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 5625962452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10094629259520).

5625962452800 is an abundant number, since it is smaller than the sum of its proper divisors (14563296066240).

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

5625962452800 is a wasteful number, since it uses less digits than its factorization.

5625962452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9231 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 5625962452800 in words is "five trillion, six hundred twenty-five billion, nine hundred sixty-two million, four hundred fifty-two thousand, eight hundred".