16957311984 has 320 divisors, whose sum is σ = 53139456000. Its totient is φ = 5163540480.

The previous prime is 16957311971. The next prime is 16957312027. The reversal of 16957311984 is 48911375961.

16957311984 is a `hidden beast` number, since 1 + 69 + 573 + 1 + 1 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 16957311984.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 18252832 + ... + 18253760.

It is an arithmetic number, because the mean of its divisors is an integer number (166060800).

Almost surely, 2^16957311984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16957311984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26569728000).

16957311984 is an abundant number, since it is smaller than the sum of its proper divisors (36182144016).

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

16957311984 is a wasteful number, since it uses less digits than its factorization.

16957311984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1041 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The spelling of 16957311984 in words is "sixteen billion, nine hundred fifty-seven million, three hundred eleven thousand, nine hundred eighty-four".