5825555251200 has 1080 divisors, whose sum is σ = 21882859532352. Its totient is φ = 1536149422080.

The previous prime is 5825555251181. The next prime is 5825555251273. The reversal of 5825555251200 is 21525555285.

5825555251200 is a `hidden beast` number, since 5 + 8 + 25 + 5 + 552 + 51 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10650009327 + ... + 10650009873.

Almost surely, 2^{5825555251200} is an apocalyptic number.

5825555251200 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 5825555251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10941429766176).

5825555251200 is an abundant number, since it is smaller than the sum of its proper divisors (16057304281152).

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

5825555251200 is an equidigital number, since it uses as much as digits as its factorization.

5825555251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1000000, while the sum is 45.

The spelling of 5825555251200 in words is "five trillion, eight hundred twenty-five billion, five hundred fifty-five million, two hundred fifty-one thousand, two hundred".