16061759451360 has 1920 divisors, whose sum is σ = 67688961500160. Its totient is φ = 3525742411776.

The previous prime is 16061759451349. The next prime is 16061759451377. The reversal of 16061759451360 is 6315495716061.

16061759451360 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 17 + 59 + 4 + 513 + 60 = 666.

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 = 16061759451297 and 16061759451306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 68934589804 + ... + 68934590036.

It is an arithmetic number, because the mean of its divisors is an integer number (35254667448).

Almost surely, 2^{16061759451360} is an apocalyptic number.

16061759451360 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 16061759451360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33844480750080).

16061759451360 is an abundant number, since it is smaller than the sum of its proper divisors (51627202048800).

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

16061759451360 is an frugal number, since it uses more digits than its factorization.

16061759451360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 16061759451360 in words is "sixteen trillion, sixty-one billion, seven hundred fifty-nine million, four hundred fifty-one thousand, three hundred sixty".