10966764056820 has 384 divisors, whose sum is σ = 36186404728320. Its totient is φ = 2446556037120.

The previous prime is 10966764056789. The next prime is 10966764056821. The reversal of 10966764056820 is 2865046766901.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10966764056821) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5249766336 + ... + 5249768424.

It is an arithmetic number, because the mean of its divisors is an integer number (94235428980).

Almost surely, 2^{10966764056820} is an apocalyptic number.

10966764056820 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 10966764056820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18093202364160).

10966764056820 is an abundant number, since it is smaller than the sum of its proper divisors (25219640671500).

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

10966764056820 is a wasteful number, since it uses less digits than its factorization.

10966764056820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 10966764056820 in words is "ten trillion, nine hundred sixty-six billion, seven hundred sixty-four million, fifty-six thousand, eight hundred twenty".