10874642688 has 864 divisors, whose sum is σ = 42748183296. Its totient is φ = 2675441664.

The previous prime is 10874642687. The next prime is 10874642699. The reversal of 10874642688 is 88624647801.

10874642688 is a `hidden beast` number, since 1 + 0 + 87 + 464 + 26 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (10874642687) 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 95 ways as a sum of consecutive naturals, for example, 96235720 + ... + 96235832.

It is an arithmetic number, because the mean of its divisors is an integer number (49477064).

Almost surely, 2^10874642688 is an apocalyptic number.

10874642688 is a gapful number since it is divisible by the number (18) 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 10874642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21374091648).

10874642688 is an abundant number, since it is smaller than the sum of its proper divisors (31873540608).

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

10874642688 is a wasteful number, since it uses less digits than its factorization.

10874642688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 10874642688 in words is "ten billion, eight hundred seventy-four million, six hundred forty-two thousand, six hundred eighty-eight".