16235856400 has 135 divisors (see below), whose sum is σ = 40924061031. Its totient is φ = 6189553920.

The previous prime is 16235856397. The next prime is 16235856449. The reversal of 16235856400 is 465853261.

The square root of 16235856400 is 127420.

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 3720512016 + 12515344384 = 60996^2 + 111872^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 58613062 + ... + 58613338.

Almost surely, 2^16235856400 is an apocalyptic number.

16235856400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16235856400 is the 127420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16235856400

16235856400 is an abundant number, since it is smaller than the sum of its proper divisors (24688204631).

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

16235856400 is an equidigital number, since it uses as much as digits as its factorization.

16235856400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 16235856400 in words is "sixteen billion, two hundred thirty-five million, eight hundred fifty-six thousand, four hundred".