4265524800 has 672 divisors, whose sum is σ = 16735714560. Its totient is φ = 1067489280.

The previous prime is 4265524799. The next prime is 4265524807. The reversal of 4265524800 is 84255624.

It is a happy number.

4265524800 is a `hidden beast` number, since 4 + 26 + 552 + 4 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4265524807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80481574 + ... + 80481626.

Almost surely, 2^4265524800 is an apocalyptic number.

4265524800 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 4265524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8367857280).

4265524800 is an abundant number, since it is smaller than the sum of its proper divisors (12470189760).

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

4265524800 is an equidigital number, since it uses as much as digits as its factorization.

4265524800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4265524800 is about 65310.9852934405. The cubic root of 4265524800 is about 1621.7758304161.

The spelling of 4265524800 in words is "four billion, two hundred sixty-five million, five hundred twenty-four thousand, eight hundred".