16879772030976 has 672 divisors, whose sum is σ = 53754277056480. Its totient is φ = 5278455300096.

The previous prime is 16879772030929. The next prime is 16879772031013. The reversal of 16879772030976 is 67903027797861.

16879772030976 is a `hidden beast` number, since 168 + 7 + 9 + 77 + 20 + 309 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9467061381 + ... + 9467063163.

It is an arithmetic number, because the mean of its divisors is an integer number (79991483715).

Almost surely, 2^{16879772030976} is an apocalyptic number.

16879772030976 is a gapful number since it is divisible by the number (16) 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 16879772030976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26877138528240).

16879772030976 is an abundant number, since it is smaller than the sum of its proper divisors (36874505025504).

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

16879772030976 is an equidigital number, since it uses as much as digits as its factorization.

16879772030976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 336063168, while the sum is 72.

The spelling of 16879772030976 in words is "sixteen trillion, eight hundred seventy-nine billion, seven hundred seventy-two million, thirty thousand, nine hundred seventy-six".