825771749760 has 640 divisors, whose sum is σ = 3111709471200. Its totient is φ = 208111140864.

The previous prime is 825771749743. The next prime is 825771749791. The reversal of 825771749760 is 67947177528.

825771749760 is a `hidden beast` number, since 8 + 2 + 5 + 77 + 17 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 568321194 + ... + 568322646.

Almost surely, 2^825771749760 is an apocalyptic number.

825771749760 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 825771749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555854735600).

825771749760 is an abundant number, since it is smaller than the sum of its proper divisors (2285937721440).

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

825771749760 is a wasteful number, since it uses less digits than its factorization.

825771749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 825771749760 in words is "eight hundred twenty-five billion, seven hundred seventy-one million, seven hundred forty-nine thousand, seven hundred sixty".