825602933160936 has 480 divisors, whose sum is σ = 2749957648732800. Its totient is φ = 230638460451840.

The previous prime is 825602933160917. The next prime is 825602933160953. The reversal of 825602933160936 is 639061339206528.

825602933160936 is a `hidden beast` number, since 8 + 2 + 5 + 602 + 9 + 3 + 3 + 16 + 0 + 9 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1505500951 + ... + 1506049241.

It is an arithmetic number, because the mean of its divisors is an integer number (5729078434860).

Almost surely, 2^{825602933160936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825602933160936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374978824366400).

825602933160936 is an abundant number, since it is smaller than the sum of its proper divisors (1924354715571864).

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

825602933160936 is a wasteful number, since it uses less digits than its factorization.

825602933160936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549379 (or 549359 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 825602933160936 in words is "eight hundred twenty-five trillion, six hundred two billion, nine hundred thirty-three million, one hundred sixty thousand, nine hundred thirty-six".