16142672789760 has 432 divisors, whose sum is σ = 57187395897408. Its totient is φ = 3847683686400.

The previous prime is 16142672789743. The next prime is 16142672789777. The reversal of 16142672789760 is 6798727624161.

It is an interprime number because it is at equal distance from previous prime (16142672789743) and next prime (16142672789777).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 16142672789691 and 16142672789700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6449328669 + ... + 6449331171.

It is an arithmetic number, because the mean of its divisors is an integer number (132378231244).

Almost surely, 2^{16142672789760} is an apocalyptic number.

16142672789760 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 16142672789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28593697948704).

16142672789760 is an abundant number, since it is smaller than the sum of its proper divisors (41044723107648).

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

16142672789760 is an frugal number, since it uses more digits than its factorization.

16142672789760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 66.

The spelling of 16142672789760 in words is "sixteen trillion, one hundred forty-two billion, six hundred seventy-two million, seven hundred eighty-nine thousand, seven hundred sixty".