16781204160 has 280 divisors, whose sum is σ = 68222103840. Its totient is φ = 3835662336.

The previous prime is 16781204113. The next prime is 16781204171. The reversal of 16781204160 is 6140218761.

It is a happy number.

16781204160 is a `hidden beast` number, since 167 + 81 + 2 + 0 + 416 + 0 = 666.

16781204160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135196 + ... + 227684.

Almost surely, 2^16781204160 is an apocalyptic number.

16781204160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16781204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34111051920).

16781204160 is an abundant number, since it is smaller than the sum of its proper divisors (51440899680).

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

16781204160 is an equidigital number, since it uses as much as digits as its factorization.

16781204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92525 (or 92506 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 16781204160 in words is "sixteen billion, seven hundred eighty-one million, two hundred four thousand, one hundred sixty".