16021670400 has 840 divisors, whose sum is σ = 63639999324. Its totient is φ = 3981312000.

The previous prime is 16021670393. The next prime is 16021670443. The reversal of 16021670400 is 407612061.

16021670400 is a `hidden beast` number, since 1 + 602 + 16 + 7 + 0 + 40 + 0 = 666.

16021670400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 12518924544 + 3502745856 = 111888^2 + 59184^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 158630350 + ... + 158630450.

Almost surely, 2^16021670400 is an apocalyptic number.

16021670400 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 16021670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31819999662).

16021670400 is an abundant number, since it is smaller than the sum of its proper divisors (47618328924).

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

16021670400 is an equidigital number, since it uses as much as digits as its factorization.

16021670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 16021670400 in words is "sixteen billion, twenty-one million, six hundred seventy thousand, four hundred".