10876964262528 has 512 divisors, whose sum is σ = 35845770240000. Its totient is φ = 2845630808064.

The previous prime is 10876964262509. The next prime is 10876964262581. The reversal of 10876964262528 is 82526246967801.

It is a super-2 number, since 2×10876964262528² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2496432126 + ... + 2496436482.

It is an arithmetic number, because the mean of its divisors is an integer number (70011270000).

Almost surely, 2^{10876964262528} 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 10876964262528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922885120000).

10876964262528 is an abundant number, since it is smaller than the sum of its proper divisors (24968805977472).

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

10876964262528 is a wasteful number, since it uses less digits than its factorization.

10876964262528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 66.

The spelling of 10876964262528 in words is "ten trillion, eight hundred seventy-six billion, nine hundred sixty-four million, two hundred sixty-two thousand, five hundred twenty-eight".