16319450972160 has 1140 divisors, whose sum is σ = 68082188061492. Its totient is φ = 3728971137024.

The previous prime is 16319450972141. The next prime is 16319450972171. The reversal of 16319450972160 is 6127905491361.

16319450972160 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 9 + 4 + 509 + 72 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12819378733056 + 3500072239104 = 3580416^2 + 1870848^2 .

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 = 16319450972097 and 16319450972106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5202246112 + ... + 5202249248.

Almost surely, 2^{16319450972160} is an apocalyptic number.

16319450972160 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 16319450972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34041094030746).

16319450972160 is an abundant number, since it is smaller than the sum of its proper divisors (51762737089332).

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

16319450972160 is an frugal number, since it uses more digits than its factorization.

16319450972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 16319450972160 in words is "sixteen trillion, three hundred nineteen billion, four hundred fifty million, nine hundred seventy-two thousand, one hundred sixty".