16256378886400 has 243 divisors, whose sum is σ = 40721014048323. Its totient is φ = 6425267712000.

The previous prime is 16256378886353. The next prime is 16256378886413. The reversal of 16256378886400 is 468887365261.

It is a happy number.

The square root of 16256378886400 is 4031920.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3001653270784 + 13254725615616 = 1732528^2 + 3640704^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32577913351 + ... + 32577913849.

Almost surely, 2^{16256378886400} is an apocalyptic number.

16256378886400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16256378886400 is the 4031920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16256378886400

16256378886400 is an abundant number, since it is smaller than the sum of its proper divisors (24464635161923).

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

16256378886400 is an frugal number, since it uses more digits than its factorization.

16256378886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 64.

16256378886400 divided by its sum of digits (64) gives a square (254005920100 = 503990²).

The spelling of 16256378886400 in words is "sixteen trillion, two hundred fifty-six billion, three hundred seventy-eight million, eight hundred eighty-six thousand, four hundred".