825183420000 has 480 divisors, whose sum is σ = 2915714672640. Its totient is φ = 203681280000.

The previous prime is 825183419959. The next prime is 825183420001. The reversal of 825183420000 is 24381528.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825183420001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42770356 + ... + 42789644.

It is an arithmetic number, because the mean of its divisors is an integer number (6074405568).

Almost surely, 2^825183420000 is an apocalyptic number.

825183420000 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 825183420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457857336320).

825183420000 is an abundant number, since it is smaller than the sum of its proper divisors (2090531252640).

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

825183420000 is a wasteful number, since it uses less digits than its factorization.

825183420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19376 (or 19353 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 825183420000 in words is "eight hundred twenty-five billion, one hundred eighty-three million, four hundred twenty thousand".