16097834712960 has 3840 divisors, whose sum is σ = 79357677696000. Its totient is φ = 3081356328960.

The previous prime is 16097834712929. The next prime is 16097834713003. The reversal of 16097834712960 is 6921743879061.

16097834712960 is a `hidden beast` number, since 1 + 6 + 0 + 9 + 7 + 83 + 471 + 29 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 479 ways as a sum of consecutive naturals, for example, 33055101837 + ... + 33055102323.

It is an arithmetic number, because the mean of its divisors is an integer number (20666061900).

Almost surely, 2^{16097834712960} is an apocalyptic number.

16097834712960 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 16097834712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39678838848000).

16097834712960 is an abundant number, since it is smaller than the sum of its proper divisors (63259842983040).

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

16097834712960 is a wasteful number, since it uses less digits than its factorization.

16097834712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 16097834712960 in words is "sixteen trillion, ninety-seven billion, eight hundred thirty-four million, seven hundred twelve thousand, nine hundred sixty".