825764467528 has 288 divisors, whose sum is σ = 2212047956160. Its totient is φ = 284055932160.

The previous prime is 825764467523. The next prime is 825764467537.

825764467528 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 825764467528.

It is not an unprimeable number, because it can be changed into a prime (825764467523) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29639701 + ... + 29667547.

It is an arithmetic number, because the mean of its divisors is an integer number (7680722070).

Almost surely, 2^825764467528 is an apocalyptic number.

825764467528 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 825764467528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106023978080).

825764467528 is an abundant number, since it is smaller than the sum of its proper divisors (1386283488632).

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

825764467528 is a wasteful number, since it uses less digits than its factorization.

825764467528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27937 (or 27903 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 64.

The spelling of 825764467528 in words is "eight hundred twenty-five billion, seven hundred sixty-four million, four hundred sixty-seven thousand, five hundred twenty-eight".