1825861564800 has 3072 divisors, whose sum is σ = 8642246860800. Its totient is φ = 370859212800.

The previous prime is 1825861564789. The next prime is 1825861564817. The reversal of 1825861564800 is 84651685281.

1825861564800 is a `hidden beast` number, since 1 + 8 + 2 + 5 + 8 + 6 + 156 + 480 + 0 = 666.

It is a super-3 number, since 3×1825861564800³ (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 383 ways as a sum of consecutive naturals, for example, 29932156770 + ... + 29932156830.

It is an arithmetic number, because the mean of its divisors is an integer number (2813231400).

Almost surely, 2^{1825861564800} is an apocalyptic number.

1825861564800 is a gapful number since it is divisible by the number (10) 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 1825861564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321123430400).

1825861564800 is an abundant number, since it is smaller than the sum of its proper divisors (6816385296000).

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

1825861564800 is an equidigital number, since it uses as much as digits as its factorization.

1825861564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 1825861564800 in words is "one trillion, eight hundred twenty-five billion, eight hundred sixty-one million, five hundred sixty-four thousand, eight hundred".