16825820880 has 640 divisors, whose sum is σ = 63638784000. Its totient is φ = 3630735360.

The previous prime is 16825820857. The next prime is 16825820953. The reversal of 16825820880 is 8802852861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62549386 + ... + 62549654.

It is an arithmetic number, because the mean of its divisors is an integer number (99435600).

Almost surely, 2^16825820880 is an apocalyptic number.

16825820880 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 16825820880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31819392000).

16825820880 is an abundant number, since it is smaller than the sum of its proper divisors (46812963120).

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

16825820880 is a wasteful number, since it uses less digits than its factorization.

16825820880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The spelling of 16825820880 in words is "sixteen billion, eight hundred twenty-five million, eight hundred twenty thousand, eight hundred eighty".