16972277760 has 768 divisors, whose sum is σ = 67081996800. Its totient is φ = 4048551936.

The previous prime is 16972277747. The next prime is 16972277789. The reversal of 16972277760 is 6777227961.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16972277697 and 16972277706.

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 63 ways as a sum of consecutive naturals, for example, 108103602 + ... + 108103758.

It is an arithmetic number, because the mean of its divisors is an integer number (87346350).

Almost surely, 2^16972277760 is an apocalyptic number.

16972277760 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 16972277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33540998400).

16972277760 is an abundant number, since it is smaller than the sum of its proper divisors (50109719040).

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

16972277760 is a wasteful number, since it uses less digits than its factorization.

16972277760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 16972277760 in words is "sixteen billion, nine hundred seventy-two million, two hundred seventy-seven thousand, seven hundred sixty".