16072966800 has 360 divisors, whose sum is σ = 62816003328. Its totient is φ = 3770496000.

The previous prime is 16072966787. The next prime is 16072966813. The reversal of 16072966800 is 866927061.

It is an interprime number because it is at equal distance from previous prime (16072966787) and next prime (16072966813).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1221054 + ... + 1234146.

Almost surely, 2^16072966800 is an apocalyptic number.

16072966800 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 16072966800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31408001664).

16072966800 is an abundant number, since it is smaller than the sum of its proper divisors (46743036528).

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

16072966800 is a wasteful number, since it uses less digits than its factorization.

16072966800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13159 (or 13145 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

It can be divided in two parts, 160729 and 66800, that added together give a square (227529 = 477²).

The spelling of 16072966800 in words is "sixteen billion, seventy-two million, nine hundred sixty-six thousand, eight hundred".