16470687260160 has 1920 divisors, whose sum is σ = 72229407022080. Its totient is φ = 3483382579200.

The previous prime is 16470687260149. The next prime is 16470687260213. The reversal of 16470687260160 is 6106278607461.

16470687260160 is a `hidden beast` number, since 1 + 6 + 470 + 6 + 8 + 7 + 2 + 6 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 16470687260097 and 16470687260106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8529614395 + ... + 8529616325.

It is an arithmetic number, because the mean of its divisors is an integer number (37619482824).

Almost surely, 2^{16470687260160} is an apocalyptic number.

16470687260160 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 16470687260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36114703511040).

16470687260160 is an abundant number, since it is smaller than the sum of its proper divisors (55758719761920).

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

16470687260160 is a wasteful number, since it uses less digits than its factorization.

16470687260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 16470687260160 in words is "sixteen trillion, four hundred seventy billion, six hundred eighty-seven million, two hundred sixty thousand, one hundred sixty".