10825170048 has 512 divisors, whose sum is σ = 41948928000. Its totient is φ = 2662502400.

The previous prime is 10825170007. The next prime is 10825170061. The reversal of 10825170048 is 84007152801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10825169994 and 10825170021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5055058 + ... + 5057198.

It is an arithmetic number, because the mean of its divisors is an integer number (81931500).

Almost surely, 2^10825170048 is an apocalyptic number.

10825170048 is a gapful number since it is divisible by the number (18) 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 10825170048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20974464000).

10825170048 is an abundant number, since it is smaller than the sum of its proper divisors (31123757952).

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

10825170048 is a wasteful number, since it uses less digits than its factorization.

10825170048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 10825170048 in words is "ten billion, eight hundred twenty-five million, one hundred seventy thousand, forty-eight".