16770123348480 has 480 divisors, whose sum is σ = 60756760247040. Its totient is φ = 4266875289600.

The previous prime is 16770123348479. The next prime is 16770123348491. The reversal of 16770123348480 is 8484332107761.

16770123348480 is a `hidden beast` number, since 1 + 6 + 7 + 7 + 0 + 123 + 34 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 212458461 + ... + 212537379.

It is an arithmetic number, because the mean of its divisors is an integer number (126576583848).

Almost surely, 2^{16770123348480} is an apocalyptic number.

16770123348480 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 16770123348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30378380123520).

16770123348480 is an abundant number, since it is smaller than the sum of its proper divisors (43986636898560).

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

16770123348480 is a wasteful number, since it uses less digits than its factorization.

16770123348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79372 (or 79353 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 16770123348480 in words is "sixteen trillion, seven hundred seventy billion, one hundred twenty-three million, three hundred forty-eight thousand, four hundred eighty".