16428575066400 has 3456 divisors, whose sum is σ = 75707154432000. Its totient is φ = 3392152473600.

The previous prime is 16428575066389. The next prime is 16428575066429. The reversal of 16428575066400 is 466057582461.

16428575066400 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 8 + 575 + 0 + 6 + 64 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 82555653501 + ... + 82555653699.

Almost surely, 2^{16428575066400} is an apocalyptic number.

16428575066400 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 16428575066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37853577216000).

16428575066400 is an abundant number, since it is smaller than the sum of its proper divisors (59278579365600).

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

16428575066400 is a wasteful number, since it uses less digits than its factorization.

16428575066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 16428575066400 in words is "sixteen trillion, four hundred twenty-eight billion, five hundred seventy-five million, sixty-six thousand, four hundred".