16120896800 has 90 divisors (see below), whose sum is σ = 39951429273. Its totient is φ = 6352114560.

The previous prime is 16120896767. The next prime is 16120896877. The reversal of 16120896800 is 869802161.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 15798478864 + 322417936 = 125692^2 + 17956^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=89780.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 240610367 + ... + 240610433.

Almost surely, 2^16120896800 is an apocalyptic number.

16120896800 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 16120896800

16120896800 is an abundant number, since it is smaller than the sum of its proper divisors (23830532473).

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

16120896800 is an frugal number, since it uses more digits than its factorization.

16120896800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

Multiplying 16120896800 by its product of nonzero digits (41472), we get a square (668565832089600 = 25856640²).

The spelling of 16120896800 in words is "sixteen billion, one hundred twenty million, eight hundred ninety-six thousand, eight hundred".