825570063360 has 792 divisors, whose sum is σ = 3354978631680. Its totient is φ = 187150860288.

The previous prime is 825570063347. The next prime is 825570063421. The reversal of 825570063360 is 63360075528.

825570063360 is a `hidden beast` number, since 8 + 2 + 5 + 5 + 7 + 0 + 0 + 633 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 286754401 + ... + 286757279.

Almost surely, 2^825570063360 is an apocalyptic number.

825570063360 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 825570063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677489315840).

825570063360 is an abundant number, since it is smaller than the sum of its proper divisors (2529408568320).

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

825570063360 is a wasteful number, since it uses less digits than its factorization.

825570063360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 825570063360 in words is "eight hundred twenty-five billion, five hundred seventy million, sixty-three thousand, three hundred sixty".