16256138400 has 288 divisors, whose sum is σ = 59199336000. Its totient is φ = 4305024000.

The previous prime is 16256138399. The next prime is 16256138417. The reversal of 16256138400 is 483165261.

It is a happy number.

16256138400 is a `hidden beast` number, since 1 + 62 + 561 + 38 + 4 + 0 + 0 = 666.

16256138400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 3215875 + ... + 3220925.

It is an arithmetic number, because the mean of its divisors is an integer number (205553250).

Almost surely, 2^16256138400 is an apocalyptic number.

16256138400 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 16256138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29599668000).

16256138400 is an abundant number, since it is smaller than the sum of its proper divisors (42943197600).

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

16256138400 is a wasteful number, since it uses less digits than its factorization.

16256138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5229 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 16256138400 in words is "sixteen billion, two hundred fifty-six million, one hundred thirty-eight thousand, four hundred".