16628198400 has 726 divisors, whose sum is σ = 67446922332. Its totient is φ = 4031078400.

The previous prime is 16628198399. The next prime is 16628198413. The reversal of 16628198400 is 489182661.

16628198400 is a `hidden beast` number, since 1 + 6 + 628 + 19 + 8 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 1511654395 + ... + 1511654405.

Almost surely, 2^16628198400 is an apocalyptic number.

16628198400 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 16628198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33723461166).

16628198400 is an abundant number, since it is smaller than the sum of its proper divisors (50818723932).

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

16628198400 is an frugal number, since it uses more digits than its factorization.

16628198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 16628198400 in words is "sixteen billion, six hundred twenty-eight million, one hundred ninety-eight thousand, four hundred".