825837738528 has 192 divisors, whose sum is σ = 2379289296384. Its totient is φ = 248735232000.

The previous prime is 825837738497. The next prime is 825837738703.

825837738528 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145314375 + ... + 145320057.

It is an arithmetic number, because the mean of its divisors is an integer number (12392131752).

Almost surely, 2^825837738528 is an apocalyptic number.

825837738528 is a gapful number since it is divisible by the number (88) 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 825837738528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189644648192).

825837738528 is an abundant number, since it is smaller than the sum of its proper divisors (1553451557856).

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

825837738528 is a wasteful number, since it uses less digits than its factorization.

825837738528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6519 (or 6511 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 66.

The spelling of 825837738528 in words is "eight hundred twenty-five billion, eight hundred thirty-seven million, seven hundred thirty-eight thousand, five hundred twenty-eight".