16628260320 has 576 divisors, whose sum is σ = 71667348480. Its totient is φ = 3420831744.

The previous prime is 16628260219. The next prime is 16628260427. The reversal of 16628260320 is 2306282661.

16628260320 is a `hidden beast` number, since 1 + 6 + 6 + 28 + 2 + 603 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3939171 + ... + 3943389.

It is an arithmetic number, because the mean of its divisors is an integer number (124422480).

Almost surely, 2^16628260320 is an apocalyptic number.

16628260320 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 16628260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35833674240).

16628260320 is an abundant number, since it is smaller than the sum of its proper divisors (55039088160).

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

16628260320 is a wasteful number, since it uses less digits than its factorization.

16628260320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16628260320 in words is "sixteen billion, six hundred twenty-eight million, two hundred sixty thousand, three hundred twenty".