16073168400 has 135 divisors (see below), whose sum is σ = 55804769319. Its totient is φ = 4284149760.

The previous prime is 16073168357. The next prime is 16073168431. The reversal of 16073168400 is 486137061.

The square root of 16073168400 is 126780.

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

16073168400 is a `hidden beast` number, since 1 + 607 + 3 + 1 + 6 + 8 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9808129296 + 6265039104 = 99036^2 + 79152^2 .

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

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, 7605744 + ... + 7607856.

Almost surely, 2^16073168400 is an apocalyptic number.

16073168400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16073168400 is the 126780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16073168400

16073168400 is an abundant number, since it is smaller than the sum of its proper divisors (39731600919).

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

16073168400 is an equidigital number, since it uses as much as digits as its factorization.

16073168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 16073168400 by its sum of digits (36), we get a square (578634062400 = 760680²).

16073168400 divided by its sum of digits (36) gives a square (446476900 = 21130²).

The spelling of 16073168400 in words is "sixteen billion, seventy-three million, one hundred sixty-eight thousand, four hundred".