825190204608 has 336 divisors, whose sum is σ = 2990439129600. Its totient is φ = 211315507200.

The previous prime is 825190204583. The next prime is 825190204639. The reversal of 825190204608 is 806402091528.

825190204608 is a `hidden beast` number, since 8 + 2 + 5 + 19 + 0 + 20 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3017968 + ... + 3280016.

Almost surely, 2^825190204608 is an apocalyptic number.

825190204608 is a gapful number since it is divisible by the number (88) 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 825190204608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495219564800).

825190204608 is an abundant number, since it is smaller than the sum of its proper divisors (2165248924992).

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

825190204608 is a wasteful number, since it uses less digits than its factorization.

825190204608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262156 (or 262143 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 825190204608 in words is "eight hundred twenty-five billion, one hundred ninety million, two hundred four thousand, six hundred eight".