10964336827536 has 675 divisors, whose sum is σ = 34555302869571. Its totient is φ = 3355853079168.

The previous prime is 10964336827447. The next prime is 10964336827567. The reversal of 10964336827536 is 63572863346901.

The square root of 10964336827536 is 3311244.

It is a perfect power (a square), and thus also a powerful number.

10964336827536 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 4 + 33 + 68 + 2 + 7 + 536 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 106449872061 + ... + 106449872163.

It is a 1-persistent number, because it is pandigital, but 2⋅10964336827536 = 21928673655072 is not.

Almost surely, 2^{10964336827536} is an apocalyptic number.

10964336827536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10964336827536 is the 3311244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10964336827536

10964336827536 is an abundant number, since it is smaller than the sum of its proper divisors (23590966042035).

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

10964336827536 is an equidigital number, since it uses as much as digits as its factorization.

10964336827536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 10964336827536 in words is "ten trillion, nine hundred sixty-four billion, three hundred thirty-six million, eight hundred twenty-seven thousand, five hundred thirty-six".