825615360000 has 1680 divisors, whose sum is σ = 3353345835840. Its totient is φ = 194641920000.

The previous prime is 825615359969. The next prime is 825615360047. The reversal of 825615360000 is 63516528.

825615360000 is a `hidden beast` number, since 8 + 2 + 5 + 615 + 36 + 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 119 ways as a sum of consecutive naturals, for example, 20136959980 + ... + 20136960020.

It is an arithmetic number, because the mean of its divisors is an integer number (1996039188).

Almost surely, 2^825615360000 is an apocalyptic number.

825615360000 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 825615360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676672917920).

825615360000 is an abundant number, since it is smaller than the sum of its proper divisors (2527730475840).

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

825615360000 is a wasteful number, since it uses less digits than its factorization.

825615360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 825615360000 its reverse (63516528), we get a palindrome (825678876528).

The spelling of 825615360000 in words is "eight hundred twenty-five billion, six hundred fifteen million, three hundred sixty thousand".