16170080320820 has 384 divisors, whose sum is σ = 38007373824000. Its totient is φ = 5759985530880.

The previous prime is 16170080320759. The next prime is 16170080320853. The reversal of 16170080320820 is 2802308007161.

It is a super-2 number, since 2×16170080320820² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14875878317 + ... + 14875879403.

It is an arithmetic number, because the mean of its divisors is an integer number (98977536000).

Almost surely, 2^{16170080320820} is an apocalyptic number.

16170080320820 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 16170080320820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19003686912000).

16170080320820 is an abundant number, since it is smaller than the sum of its proper divisors (21837293503180).

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

16170080320820 is a wasteful number, since it uses less digits than its factorization.

16170080320820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

Adding to 16170080320820 its reverse (2802308007161), we get a palindrome (18972388327981).

The spelling of 16170080320820 in words is "sixteen trillion, one hundred seventy billion, eighty million, three hundred twenty thousand, eight hundred twenty".