825780510720 has 1400 divisors, whose sum is σ = 3447968473620. Its totient is φ = 188413378560.

The previous prime is 825780510713. The next prime is 825780510733. The reversal of 825780510720 is 27015087528.

825780510720 is a `hidden beast` number, since 8 + 2 + 57 + 80 + 510 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 820922978304 + 4857532416 = 906048^2 + 69696^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 48575324152 + ... + 48575324168.

Almost surely, 2^825780510720 is an apocalyptic number.

825780510720 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 825780510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723984236810).

825780510720 is an abundant number, since it is smaller than the sum of its proper divisors (2622187962900).

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

825780510720 is an frugal number, since it uses more digits than its factorization.

825780510720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 825780510720 in words is "eight hundred twenty-five billion, seven hundred eighty million, five hundred ten thousand, seven hundred twenty".