16710314281920 has 672 divisors, whose sum is σ = 69510639744000. Its totient is φ = 3819494310912.

The previous prime is 16710314281877. The next prime is 16710314281937. The reversal of 16710314281920 is 2918241301761.

16710314281920 is a `hidden beast` number, since 1 + 6 + 7 + 1 + 0 + 31 + 428 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26358421 + ... + 26984939.

It is an arithmetic number, because the mean of its divisors is an integer number (103438452000).

Almost surely, 2^{16710314281920} is an apocalyptic number.

16710314281920 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 16710314281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34755319872000).

16710314281920 is an abundant number, since it is smaller than the sum of its proper divisors (52800325462080).

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

16710314281920 is an frugal number, since it uses more digits than its factorization.

16710314281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626572 (or 626536 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 16710314281920 in words is "sixteen trillion, seven hundred ten billion, three hundred fourteen million, two hundred eighty-one thousand, nine hundred twenty".