16825140480 has 144 divisors (see below), whose sum is σ = 55046424384. Its totient is φ = 4377231360.

The previous prime is 16825140473. The next prime is 16825140517. The reversal of 16825140480 is 8404152861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104007 + ... + 210873.

It is an arithmetic number, because the mean of its divisors is an integer number (382266836).

Almost surely, 2^16825140480 is an apocalyptic number.

16825140480 is a gapful number since it is divisible by the number (10) 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 16825140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27523212192).

16825140480 is an abundant number, since it is smaller than the sum of its proper divisors (38221283904).

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

16825140480 is a wasteful number, since it uses less digits than its factorization.

16825140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106932 (or 106918 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 16825140480 in words is "sixteen billion, eight hundred twenty-five million, one hundred forty thousand, four hundred eighty".