4525516800 has 864 divisors, whose sum is σ = 19644992640. Its totient is φ = 973209600.

The previous prime is 4525516769. The next prime is 4525516829. The reversal of 4525516800 is 86155254.

4525516800 is a `hidden beast` number, since 4 + 525 + 51 + 6 + 80 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 74188770 + ... + 74188830.

It is an arithmetic number, because the mean of its divisors is an integer number (22737260).

Almost surely, 2^4525516800 is an apocalyptic number.

4525516800 is a gapful number since it is divisible by the number (40) 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 4525516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9822496320).

4525516800 is an abundant number, since it is smaller than the sum of its proper divisors (15119475840).

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

4525516800 is a wasteful number, since it uses less digits than its factorization.

4525516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 4525516800 is about 67271.9614698427. The cubic root of 4525516800 is about 1654.0782860975.

The spelling of 4525516800 in words is "four billion, five hundred twenty-five million, five hundred sixteen thousand, eight hundred".