825913628118 has 64 divisors (see below), whose sum is σ = 1933614355200. Its totient is φ = 260591722560.

The previous prime is 825913628101. The next prime is 825913628119. The reversal of 825913628118 is 811826319528.

825913628118 is a `hidden beast` number, since 8 + 2 + 5 + 9 + 1 + 3 + 628 + 1 + 1 + 8 = 666.

It is a super-2 number, since 2×825913628118² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825913628119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857730 + ... + 1545162.

It is an arithmetic number, because the mean of its divisors is an integer number (30212724300).

Almost surely, 2^825913628118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825913628118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966807177600).

825913628118 is an abundant number, since it is smaller than the sum of its proper divisors (1107700727082).

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

825913628118 is a wasteful number, since it uses less digits than its factorization.

825913628118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688634 (or 688628 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 825913628118 in words is "eight hundred twenty-five billion, nine hundred thirteen million, six hundred twenty-eight thousand, one hundred eighteen".