10616011264 has 80 divisors (see below), whose sum is σ = 21795620616. Its totient is φ = 5162598400.

The previous prime is 10616011207. The next prime is 10616011277. The reversal of 10616011264 is 46211061601.

It can be written as a sum of positive squares in 4 ways, for example, as 4330692864 + 6285318400 = 65808^2 + 79280^2 .

It is a super-2 number, since 2×10616011264² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9676764 + ... + 9677860.

Almost surely, 2^10616011264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10616011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10897810308).

10616011264 is an abundant number, since it is smaller than the sum of its proper divisors (11179609352).

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

10616011264 is an equidigital number, since it uses as much as digits as its factorization.

10616011264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 10616011264 its reverse (46211061601), we get a palindrome (56827072865).

The spelling of 10616011264 in words is "ten billion, six hundred sixteen million, eleven thousand, two hundred sixty-four".