16386854400 has 540 divisors, whose sum is σ = 68242063032. Its totient is φ = 3744276480.

The previous prime is 16386854389. The next prime is 16386854401. The reversal of 16386854400 is 445868361.

16386854400 is a `hidden beast` number, since 1 + 638 + 6 + 8 + 5 + 4 + 4 + 0 + 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 (16386854401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5643349 + ... + 5646251.

Almost surely, 2^16386854400 is an apocalyptic number.

16386854400 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 16386854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34121031516).

16386854400 is an abundant number, since it is smaller than the sum of its proper divisors (51855208632).

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

16386854400 is a wasteful number, since it uses less digits than its factorization.

16386854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 16386854400 in words is "sixteen billion, three hundred eighty-six million, eight hundred fifty-four thousand, four hundred".