825984765408 has 192 divisors, whose sum is σ = 2428586012160. Its totient is φ = 243631718400.

The previous prime is 825984765379. The next prime is 825984765413. The reversal of 825984765408 is 804567489528.

It is a super-2 number, since 2×825984765408² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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, 18985216 + ... + 19028672.

It is an arithmetic number, because the mean of its divisors is an integer number (12648885480).

Almost surely, 2^825984765408 is an apocalyptic number.

825984765408 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 825984765408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214293006080).

825984765408 is an abundant number, since it is smaller than the sum of its proper divisors (1602601246752).

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

825984765408 is a wasteful number, since it uses less digits than its factorization.

825984765408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43961 (or 43953 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 66.

The spelling of 825984765408 in words is "eight hundred twenty-five billion, nine hundred eighty-four million, seven hundred sixty-five thousand, four hundred eight".