16479048499200 has 2040 divisors, whose sum is σ = 71017472223808. Its totient is φ = 3715041853440.

The previous prime is 16479048499189. The next prime is 16479048499219. The reversal of 16479048499200 is 299484097461.

16479048499200 is a `hidden beast` number, since 1 + 6 + 47 + 9 + 0 + 484 + 99 + 20 + 0 = 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 119 ways as a sum of consecutive naturals, for example, 225740390364 + ... + 225740390436.

Almost surely, 2^{16479048499200} is an apocalyptic number.

16479048499200 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 16479048499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35508736111904).

16479048499200 is an abundant number, since it is smaller than the sum of its proper divisors (54538423724608).

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

16479048499200 is an frugal number, since it uses more digits than its factorization.

16479048499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 16479048499200 in words is "sixteen trillion, four hundred seventy-nine billion, forty-eight million, four hundred ninety-nine thousand, two hundred".