10876374018048 has 1536 divisors, whose sum is σ = 40724716032000. Its totient is φ = 2491982807040.

The previous prime is 10876374018011. The next prime is 10876374018073. The reversal of 10876374018048 is 84081047367801.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16656008890 + ... + 16656009542.

It is an arithmetic number, because the mean of its divisors is an integer number (26513487000).

Almost surely, 2^{10876374018048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10876374018048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20362358016000).

10876374018048 is an abundant number, since it is smaller than the sum of its proper divisors (29848342013952).

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

10876374018048 is a wasteful number, since it uses less digits than its factorization.

10876374018048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 10876374018048 in words is "ten trillion, eight hundred seventy-six billion, three hundred seventy-four million, eighteen thousand, forty-eight".