16956414720 has 1728 divisors, whose sum is σ = 80530329600. Its totient is φ = 3344302080.

The previous prime is 16956414697. The next prime is 16956414721. The reversal of 16956414720 is 2741465961.

16956414720 is a `hidden beast` number, since 1 + 6 + 9 + 564 + 14 + 72 + 0 = 666.

16956414720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-5 number, since 5×16956414720⁵ (a number of 52 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16956414721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 546981105 + ... + 546981135.

It is an arithmetic number, because the mean of its divisors is an integer number (46603200).

Almost surely, 2^16956414720 is an apocalyptic number.

16956414720 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 16956414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40265164800).

16956414720 is an abundant number, since it is smaller than the sum of its proper divisors (63573914880).

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

16956414720 is a wasteful number, since it uses less digits than its factorization.

16956414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 16956414720 in words is "sixteen billion, nine hundred fifty-six million, four hundred fourteen thousand, seven hundred twenty".