16303200480 has 576 divisors, whose sum is σ = 67761308160. Its totient is φ = 3623491584.

The previous prime is 16303200479. The next prime is 16303200491. The reversal of 16303200480 is 8400230361.

It is a happy number.

16303200480 is a `hidden beast` number, since 1 + 630 + 3 + 20 + 0 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 10069111 + ... + 10070729.

It is an arithmetic number, because the mean of its divisors is an integer number (117641160).

Almost surely, 2^16303200480 is an apocalyptic number.

16303200480 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 16303200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33880654080).

16303200480 is an abundant number, since it is smaller than the sum of its proper divisors (51458107680).

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

16303200480 is a wasteful number, since it uses less digits than its factorization.

16303200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 16303200480 in words is "sixteen billion, three hundred three million, two hundred thousand, four hundred eighty".