16072601600 has 312 divisors, whose sum is σ = 45827662080. Its totient is φ = 5529600000.

The previous prime is 16072601591. The next prime is 16072601617. The reversal of 16072601600 is 610627061.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21401225 + ... + 21401975.

Almost surely, 2^16072601600 is an apocalyptic number.

16072601600 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 16072601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913831040).

16072601600 is an abundant number, since it is smaller than the sum of its proper divisors (29755060480).

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

16072601600 is a wasteful number, since it uses less digits than its factorization.

16072601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 16072601600 in words is "sixteen billion, seventy-two million, six hundred one thousand, six hundred".