825666819120 has 2160 divisors, whose sum is σ = 3585716499456. Its totient is φ = 176135731200.

The previous prime is 825666819079. The next prime is 825666819143. The reversal of 825666819120 is 21918666528.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 12323385327 + ... + 12323385393.

Almost surely, 2^825666819120 is an apocalyptic number.

825666819120 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 825666819120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792858249728).

825666819120 is an abundant number, since it is smaller than the sum of its proper divisors (2760049680336).

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

825666819120 is a wasteful number, since it uses less digits than its factorization.

825666819120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 825666819120 in words is "eight hundred twenty-five billion, six hundred sixty-six million, eight hundred nineteen thousand, one hundred twenty".