16270090304400 has 225 divisors, whose sum is σ = 58394654335171. Its totient is φ = 4338497134080.

The previous prime is 16270090304353. The next prime is 16270090304411. The reversal of 16270090304400 is 440309007261.

The square root of 16270090304400 is 4033620.

It is a perfect power (a square), and thus also a powerful number.

16270090304400 is a `hidden beast` number, since 1 + 62 + 70 + 0 + 90 + 3 + 0 + 440 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104672955024 + 16165417349376 = 323532^2 + 4020624^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 726040396 + ... + 726062804.

Almost surely, 2^{16270090304400} is an apocalyptic number.

16270090304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16270090304400 is the 4033620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16270090304400

16270090304400 is an abundant number, since it is smaller than the sum of its proper divisors (42124564030771).

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

16270090304400 is an frugal number, since it uses more digits than its factorization.

16270090304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44848 (or 22419 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 16270090304400 by its sum of digits (36), we get a square (585723250958400 = 24201720²).

16270090304400 divided by its sum of digits (36) gives a square (451946952900 = 672270²).

The spelling of 16270090304400 in words is "sixteen trillion, two hundred seventy billion, ninety million, three hundred four thousand, four hundred".