16906920961840 has 640 divisors, whose sum is σ = 53638006947840. Its totient is φ = 4803333156864.

The previous prime is 16906920961793. The next prime is 16906920961937. The reversal of 16906920961840 is 4816902960961.

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, 340380687 + ... + 340430353.

It is an arithmetic number, because the mean of its divisors is an integer number (83809385856).

Almost surely, 2^{16906920961840} is an apocalyptic number.

16906920961840 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 16906920961840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26819003473920).

16906920961840 is an abundant number, since it is smaller than the sum of its proper divisors (36731085986000).

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

16906920961840 is a wasteful number, since it uses less digits than its factorization.

16906920961840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49849 (or 49843 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 61.

The spelling of 16906920961840 in words is "sixteen trillion, nine hundred six billion, nine hundred twenty million, nine hundred sixty-one thousand, eight hundred forty".