16042755600 has 135 divisors (see below), whose sum is σ = 55699203469. Its totient is φ = 4276041600.

The previous prime is 16042755581. The next prime is 16042755647. The reversal of 16042755600 is 655724061.

It is a happy number.

The square root of 16042755600 is 126660.

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

16042755600 is a `hidden beast` number, since 1 + 6 + 0 + 42 + 7 + 5 + 5 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5775392016 + 10267363584 = 75996^2 + 101328^2 .

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 26 ways as a sum of consecutive naturals, for example, 7598545 + ... + 7600655.

Almost surely, 2^16042755600 is an apocalyptic number.

16042755600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16042755600 is the 126660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16042755600

16042755600 is an abundant number, since it is smaller than the sum of its proper divisors (39656447869).

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

16042755600 is an equidigital number, since it uses as much as digits as its factorization.

16042755600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 16042755600 by its sum of digits (36), we get a square (577539201600 = 759960²).

16042755600 divided by its sum of digits (36) gives a square (445632100 = 21110²).

The spelling of 16042755600 in words is "sixteen billion, forty-two million, seven hundred fifty-five thousand, six hundred".