2825388580500 has 384 divisors, whose sum is σ = 9429370030080. Its totient is φ = 739206000000.

The previous prime is 2825388580481. The next prime is 2825388580517. The reversal of 2825388580500 is 50858835282.

2825388580500 is a `hidden beast` number, since 2 + 8 + 2 + 5 + 3 + 8 + 8 + 580 + 50 + 0 = 666.

It is a super-3 number, since 3×2825388580500³ (a number of 38 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57931125 + ... + 57979875.

It is an arithmetic number, because the mean of its divisors is an integer number (24555651120).

Almost surely, 2^{2825388580500} is an apocalyptic number.

2825388580500 is a gapful number since it is divisible by the number (20) 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 2825388580500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4714685015040).

2825388580500 is an abundant number, since it is smaller than the sum of its proper divisors (6603981449580).

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

2825388580500 is an equidigital number, since it uses as much as digits as its factorization.

2825388580500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48844 (or 48814 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 2825388580500 in words is "two trillion, eight hundred twenty-five billion, three hundred eighty-eight million, five hundred eighty thousand, five hundred".