16979521104 has 640 divisors, whose sum is σ = 63595929600. Its totient is φ = 4215214080.

The previous prime is 16979521099. The next prime is 16979521123. The reversal of 16979521104 is 40112597961.

16979521104 is a `hidden beast` number, since 16 + 9 + 7 + 9 + 521 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16979521104.

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, 80471559 + ... + 80471769.

It is an arithmetic number, because the mean of its divisors is an integer number (99368640).

Almost surely, 2^16979521104 is an apocalyptic number.

16979521104 is a gapful number since it is divisible by the number (14) 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 16979521104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31797964800).

16979521104 is an abundant number, since it is smaller than the sum of its proper divisors (46616408496).

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

16979521104 is a wasteful number, since it uses less digits than its factorization.

16979521104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 16979521104 in words is "sixteen billion, nine hundred seventy-nine million, five hundred twenty-one thousand, one hundred four".