10609387776 has 252 divisors, whose sum is σ = 34201714428. Its totient is φ = 3263680512.

The previous prime is 10609387769. The next prime is 10609387823. The reversal of 10609387776 is 67778390601.

It can be written as a sum of positive squares in 2 ways, for example, as 3657830400 + 6951557376 = 60480^2 + 83376^2 .

It is a super-2 number, since 2×10609387776² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2423926 + ... + 2428298.

It is an arithmetic number, because the mean of its divisors is an integer number (135721089).

Almost surely, 2^10609387776 is an apocalyptic number.

10609387776 is a gapful number since it is divisible by the number (16) 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 10609387776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100857214).

10609387776 is an abundant number, since it is smaller than the sum of its proper divisors (23592326652).

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

10609387776 is an frugal number, since it uses more digits than its factorization.

10609387776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 10609387776 in words is "ten billion, six hundred nine million, three hundred eighty-seven thousand, seven hundred seventy-six".