16828713742480 has 40 divisors (see below), whose sum is σ = 41186062584000. Its totient is φ = 6377196786048.

The previous prime is 16828713742469. The next prime is 16828713742517. The reversal of 16828713742480 is 8424731782861.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 5535759580 + ... + 5535762619.

It is an arithmetic number, because the mean of its divisors is an integer number (1029651564600).

Almost surely, 2^{16828713742480} is an apocalyptic number.

16828713742480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16828713742480 is an abundant number, since it is smaller than the sum of its proper divisors (24357348841520).

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

16828713742480 is a wasteful number, since it uses less digits than its factorization.

16828713742480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11071522231 (or 11071522225 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 61.

The spelling of 16828713742480 in words is "sixteen trillion, eight hundred twenty-eight billion, seven hundred thirteen million, seven hundred forty-two thousand, four hundred eighty".