16072100352 has 600 divisors, whose sum is σ = 60960651840. Its totient is φ = 4168765440.

The previous prime is 16072100351. The next prime is 16072100383. The reversal of 16072100352 is 25300127061.

It is a happy number.

16072100352 is a `hidden beast` number, since 1 + 607 + 2 + 1 + 0 + 0 + 3 + 52 = 666.

16072100352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (16072100351) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 22353049 + ... + 22353767.

Almost surely, 2^16072100352 is an apocalyptic number.

16072100352 is a gapful number since it is divisible by the number (12) 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 16072100352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30480325920).

16072100352 is an abundant number, since it is smaller than the sum of its proper divisors (44888551488).

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

16072100352 is an equidigital number, since it uses as much as digits as its factorization.

16072100352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 16072100352 in words is "sixteen billion, seventy-two million, one hundred thousand, three hundred fifty-two".