16428979723520 has 864 divisors, whose sum is σ = 51714967062528. Its totient is φ = 4947077431296.

The previous prime is 16428979723489. The next prime is 16428979723529. The reversal of 16428979723520 is 2532797982461.

It is a super-2 number, since 2×16428979723520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16428979723529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3694393937 + ... + 3694398383.

It is an arithmetic number, because the mean of its divisors is an integer number (59855285952).

It is a 1-persistent number, because it is pandigital, but 2⋅16428979723520 = 32857959447040 is not.

Almost surely, 2^{16428979723520} is an apocalyptic number.

16428979723520 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 16428979723520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25857483531264).

16428979723520 is an abundant number, since it is smaller than the sum of its proper divisors (35285987339008).

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

16428979723520 is a wasteful number, since it uses less digits than its factorization.

16428979723520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4694 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 65.

The spelling of 16428979723520 in words is "sixteen trillion, four hundred twenty-eight billion, nine hundred seventy-nine million, seven hundred twenty-three thousand, five hundred twenty".