825673376528 has 240 divisors, whose sum is σ = 2195404485120. Its totient is φ = 295703654400.

The previous prime is 825673376483. The next prime is 825673376551.

825673376528 is nontrivially palindromic in base 10.

825673376528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×825673376528² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27003713 + ... + 27034271.

It is an arithmetic number, because the mean of its divisors is an integer number (9147518688).

Almost surely, 2^825673376528 is an apocalyptic number.

825673376528 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 825673376528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097702242560).

825673376528 is an abundant number, since it is smaller than the sum of its proper divisors (1369731108592).

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

825673376528 is a wasteful number, since it uses less digits than its factorization.

825673376528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30846 (or 30833 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 62.

The spelling of 825673376528 in words is "eight hundred twenty-five billion, six hundred seventy-three million, three hundred seventy-six thousand, five hundred twenty-eight".