16775294400 has 210 divisors, whose sum is σ = 61662238880. Its totient is φ = 4473377280.

The previous prime is 16775294387. The next prime is 16775294401. The reversal of 16775294400 is 449257761.

16775294400 is a `hidden beast` number, since 16 + 77 + 529 + 4 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16775294401) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 64881 + ... + 194319.

Almost surely, 2^16775294400 is an apocalyptic number.

16775294400 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 16775294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30831119440).

16775294400 is an abundant number, since it is smaller than the sum of its proper divisors (44886944480).

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

16775294400 is a wasteful number, since it uses less digits than its factorization.

16775294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129473 (or 129449 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 16775294400 in words is "sixteen billion, seven hundred seventy-five million, two hundred ninety-four thousand, four hundred".