16957971298890 has 128 divisors (see below), whose sum is σ = 46036869523200. Its totient is φ = 4440804030720.

The previous prime is 16957971298859. The next prime is 16957971298909. The reversal of 16957971298890 is 9889217975961.

It is a happy number.

16957971298890 is a `hidden beast` number, since 16 + 9 + 579 + 7 + 1 + 29 + 8 + 8 + 9 + 0 = 666.

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, 9363244 + ... + 11026616.

It is an arithmetic number, because the mean of its divisors is an integer number (359663043150).

Almost surely, 2^{16957971298890} is an apocalyptic number.

16957971298890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16957971298890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23018434761600).

16957971298890 is an abundant number, since it is smaller than the sum of its proper divisors (29078898224310).

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

16957971298890 is a wasteful number, since it uses less digits than its factorization.

16957971298890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664069 (or 1664063 counting only the distinct ones).

The product of its (nonzero) digits is 1234517760, while the sum is 81.

The spelling of 16957971298890 in words is "sixteen trillion, nine hundred fifty-seven billion, nine hundred seventy-one million, two hundred ninety-eight thousand, eight hundred ninety".