825705812160 has 672 divisors, whose sum is σ = 3094856294400. Its totient is φ = 201291816960.

The previous prime is 825705812131. The next prime is 825705812189. The reversal of 825705812160 is 61218507528.

825705812160 is a `hidden beast` number, since 8 + 2 + 5 + 7 + 0 + 581 + 2 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (825705812131) and next prime (825705812189).

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 95 ways as a sum of consecutive naturals, for example, 1148408281 + ... + 1148408999.

Almost surely, 2^825705812160 is an apocalyptic number.

825705812160 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 825705812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547428147200).

825705812160 is an abundant number, since it is smaller than the sum of its proper divisors (2269150482240).

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

825705812160 is a wasteful number, since it uses less digits than its factorization.

825705812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 825705812160 in words is "eight hundred twenty-five billion, seven hundred five million, eight hundred twelve thousand, one hundred sixty".