16319837491200 has 780 divisors, whose sum is σ = 60828494087328. Its totient is φ = 4324899225600.

The previous prime is 16319837491159. The next prime is 16319837491207. The reversal of 16319837491200 is 219473891361.

16319837491200 is a `hidden beast` number, since 1 + 6 + 31 + 98 + 37 + 491 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×16319837491200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16319837491207) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1351981165 + ... + 1351993235.

Almost surely, 2^{16319837491200} is an apocalyptic number.

16319837491200 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 16319837491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30414247043664).

16319837491200 is an abundant number, since it is smaller than the sum of its proper divisors (44508656596128).

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

16319837491200 is a wasteful number, since it uses less digits than its factorization.

16319837491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12280 (or 12244 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 16319837491200 in words is "sixteen trillion, three hundred nineteen billion, eight hundred thirty-seven million, four hundred ninety-one thousand, two hundred".