5025820800 has 768 divisors, whose sum is σ = 22268574720. Its totient is φ = 962150400.

The previous prime is 5025820763. The next prime is 5025820829. The reversal of 5025820800 is 80285205.

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

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, 9609339 + ... + 9609861.

It is an arithmetic number, because the mean of its divisors is an integer number (28995540).

Almost surely, 2^5025820800 is an apocalyptic number.

5025820800 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 5025820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11134287360).

5025820800 is an abundant number, since it is smaller than the sum of its proper divisors (17242753920).

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

5025820800 is a wasteful number, since it uses less digits than its factorization.

5025820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 5025820800 is about 70893.0236342054. The cubic root of 5025820800 is about 1712.9144240058.

5025820800 divided by its sum of digits (30) gives a triangular number (167527360 = T₁₈₃₀₄).

The spelling of 5025820800 in words is "five billion, twenty-five million, eight hundred twenty thousand, eight hundred".