16400275200 has 432 divisors, whose sum is σ = 60768610560. Its totient is φ = 4327649280.

The previous prime is 16400275181. The next prime is 16400275211. The reversal of 16400275200 is 257200461.

It is a tau number, because it is divible by the number of its divisors (432).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18489157 + ... + 18490043.

It is an arithmetic number, because the mean of its divisors is an integer number (140668080).

Almost surely, 2^16400275200 is an apocalyptic number.

16400275200 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 16400275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30384305280).

16400275200 is an abundant number, since it is smaller than the sum of its proper divisors (44368335360).

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

16400275200 is a wasteful number, since it uses less digits than its factorization.

16400275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 16400275200 its reverse (257200461), we get a palindrome (16657475661).

It can be divided in two parts, 16400 and 275200, that added together give a square (291600 = 540²).

The spelling of 16400275200 in words is "sixteen billion, four hundred million, two hundred seventy-five thousand, two hundred".