10776689528832 has 416 divisors, whose sum is σ = 33638274576000. Its totient is φ = 3400040448000.

The previous prime is 10776689528797. The next prime is 10776689528887. The reversal of 10776689528832 is 23882598667701.

10776689528832 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 6 + 68 + 9 + 528 + 8 + 32 = 666.

It is a super-2 number, since 2×10776689528832² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3591031332 + ... + 3591034332.

Almost surely, 2^{10776689528832} is an apocalyptic number.

10776689528832 is a gapful number since it is divisible by the number (12) 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 10776689528832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16819137288000).

10776689528832 is an abundant number, since it is smaller than the sum of its proper divisors (22861585047168).

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

10776689528832 is a wasteful number, since it uses less digits than its factorization.

10776689528832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 10776689528832 in words is "ten trillion, seven hundred seventy-six billion, six hundred eighty-nine million, five hundred twenty-eight thousand, eight hundred thirty-two".