825507441360 has 960 divisors, whose sum is σ = 3435048000000. Its totient is φ = 181471739904.

The previous prime is 825507441323. The next prime is 825507441361. The reversal of 825507441360 is 63144705528.

825507441360 is a `hidden beast` number, since 8 + 2 + 5 + 507 + 4 + 4 + 136 + 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 not an unprimeable number, because it can be changed into a prime (825507441361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1378142341 + ... + 1378142939.

It is an arithmetic number, because the mean of its divisors is an integer number (3578175000).

Almost surely, 2^825507441360 is an apocalyptic number.

825507441360 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 825507441360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717524000000).

825507441360 is an abundant number, since it is smaller than the sum of its proper divisors (2609540558640).

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

825507441360 is a wasteful number, since it uses less digits than its factorization.

825507441360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 825507441360 in words is "eight hundred twenty-five billion, five hundred seven million, four hundred forty-one thousand, three hundred sixty".