10876656672 has 336 divisors, whose sum is σ = 37569470400. Its totient is φ = 3033386496.

The previous prime is 10876656631. The next prime is 10876656677. The reversal of 10876656672 is 27665667801.

10876656672 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 6 + 6 + 566 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10876656677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7020954 + ... + 7022502.

It is an arithmetic number, because the mean of its divisors is an integer number (111813900).

Almost surely, 2^10876656672 is an apocalyptic number.

10876656672 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 10876656672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18784735200).

10876656672 is an abundant number, since it is smaller than the sum of its proper divisors (26692813728).

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

10876656672 is an equidigital number, since it uses as much as digits as its factorization.

10876656672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 10876656672 in words is "ten billion, eight hundred seventy-six million, six hundred fifty-six thousand, six hundred seventy-two".