4525358284800 has 1152 divisors, whose sum is σ = 17038009497600. Its totient is φ = 1190571540480.

The previous prime is 4525358284781. The next prime is 4525358284819. The reversal of 4525358284800 is 84828535254.

4525358284800 is a `hidden beast` number, since 4 + 5 + 2 + 5 + 358 + 284 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4525358284781) and next prime (4525358284819).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×4525358284800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 25281331111 + ... + 25281331289.

It is an arithmetic number, because the mean of its divisors is an integer number (14789938800).

Almost surely, 2^{4525358284800} is an apocalyptic number.

4525358284800 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 4525358284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519004748800).

4525358284800 is an abundant number, since it is smaller than the sum of its proper divisors (12512651212800).

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

4525358284800 is an equidigital number, since it uses as much as digits as its factorization.

4525358284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 4525358284800 in words is "four trillion, five hundred twenty-five billion, three hundred fifty-eight million, two hundred eighty-four thousand, eight hundred".