825800538000 has 320 divisors, whose sum is σ = 2679914045952. Its totient is φ = 218768742400.

The previous prime is 825800537981. The next prime is 825800538077. The reversal of 825800538000 is 835008528.

It is a super-2 number, since 2×825800538000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 825800538000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1068305614 + ... + 1068306386.

Almost surely, 2^825800538000 is an apocalyptic number.

825800538000 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 825800538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339957022976).

825800538000 is an abundant number, since it is smaller than the sum of its proper divisors (1854113507952).

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

825800538000 is a wasteful number, since it uses less digits than its factorization.

825800538000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 825800538000 in words is "eight hundred twenty-five billion, eight hundred million, five hundred thirty-eight thousand".