16007777280 has 880 divisors, whose sum is σ = 65270478240. Its totient is φ = 3746856960.

The previous prime is 16007777257. The next prime is 16007777287. The reversal of 16007777280 is 8277770061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16007777287) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 551992306 + ... + 551992334.

It is an arithmetic number, because the mean of its divisors is an integer number (74170998).

Almost surely, 2^16007777280 is an apocalyptic number.

16007777280 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 16007777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32635239120).

16007777280 is an abundant number, since it is smaller than the sum of its proper divisors (49262700960).

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

16007777280 is an equidigital number, since it uses as much as digits as its factorization.

16007777280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The spelling of 16007777280 in words is "sixteen billion, seven million, seven hundred seventy-seven thousand, two hundred eighty".