825991598416 has 80 divisors (see below), whose sum is σ = 1707571851264. Its totient is φ = 386157923712.

The previous prime is 825991598413. The next prime is 825991598417. The reversal of 825991598416 is 614895199528.

It is a super-2 number, since 2×825991598416² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825991598413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14205595 + ... + 14263621.

Almost surely, 2^825991598416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825991598416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853785925632).

825991598416 is an abundant number, since it is smaller than the sum of its proper divisors (881580252848).

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

825991598416 is a wasteful number, since it uses less digits than its factorization.

825991598416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58928 (or 58922 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 67.

The spelling of 825991598416 in words is "eight hundred twenty-five billion, nine hundred ninety-one million, five hundred ninety-eight thousand, four hundred sixteen".