825753600000 has 828 divisors, whose sum is σ = 3407653489968. Its totient is φ = 188743680000.

The previous prime is 825753599971. The next prime is 825753600013. The reversal of 825753600000 is 6357528.

825753600000 is a `hidden beast` number, since 82 + 575 + 3 + 6 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117964799997 + ... + 117964800003.

Almost surely, 2^825753600000 is an apocalyptic number.

825753600000 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 825753600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703826744984).

825753600000 is an abundant number, since it is smaller than the sum of its proper divisors (2581899889968).

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

825753600000 is an frugal number, since it uses more digits than its factorization.

825753600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 825753600000 its reverse (6357528), we get a palindrome (825759957528).

The spelling of 825753600000 in words is "eight hundred twenty-five billion, seven hundred fifty-three million, six hundred thousand".