825143830580160 has 840 divisors, whose sum is σ = 3677040971714880. Its totient is φ = 174096277254144.

The previous prime is 825143830580149. The next prime is 825143830580227. The reversal of 825143830580160 is 61085038341528.

825143830580160 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 43 + 8 + 3 + 0 + 580 + 16 + 0 = 666.

825143830580160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×825143830580160² (a number of 31 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 825143830580097 and 825143830580106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8476600 + ... + 41498679.

It is an arithmetic number, because the mean of its divisors is an integer number (4377429728232).

Almost surely, 2^{825143830580160} is an apocalyptic number.

825143830580160 is a gapful number since it is divisible by the number (80) 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 825143830580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838520485857440).

825143830580160 is an abundant number, since it is smaller than the sum of its proper divisors (2851897141134720).

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

825143830580160 is a wasteful number, since it uses less digits than its factorization.

825143830580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49975335 (or 49975309 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 825143830580160 in words is "eight hundred twenty-five trillion, one hundred forty-three billion, eight hundred thirty million, five hundred eighty thousand, one hundred sixty".